Finding the Third Proportional to 7,645,258,796,536 and 16,381,008,281,072

Step by Step Solution

1. Step 1: Write the proportion equation
   7,645,258,796,536 : 16,381,008,281,072 = 16,381,008,281,072 : x
2. Step 2: Convert to fraction form
   7,645,258,796,536/16,381,008,281,072 = 16,381,008,281,072/x
3. Step 3: Cross multiply
   7,645,258,796,536x = 16,381,008,281,072 × 16,381,008,281,072
4. Step 4: Simplify right side
   7,645,258,796,536x = 268,337,432,304,549,426,156,797,952
5. Step 5: Solve for x
   x = 268,337,432,304,549,426,156,797,952/7,645,258,796,536
6. Step 6: Final answer
   x = 35,098,541,389,616.63