Finding the Third Proportional to 45,816 and 69,362

Step by Step Solution

1. Step 1: Write the proportion equation
   45,816 : 69,362 = 69,362 : x
2. Step 2: Convert to fraction form
   45,816/69,362 = 69,362/x
3. Step 3: Cross multiply
   45,816x = 69,362 × 69,362
4. Step 4: Simplify right side
   45,816x = 4,811,087,044
5. Step 5: Solve for x
   x = 4,811,087,044/45,816
6. Step 6: Final answer
   x = 105,008.88