Finding the Third Proportional to 2,575,414,782 and 5,578,681,680

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575,414,782 : 5,578,681,680 = 5,578,681,680 : x
2. Step 2: Convert to fraction form
   2,575,414,782/5,578,681,680 = 5,578,681,680/x
3. Step 3: Cross multiply
   2,575,414,782x = 5,578,681,680 × 5,578,681,680
4. Step 4: Simplify right side
   2,575,414,782x = 31,121,689,286,767,624,192
5. Step 5: Solve for x
   x = 31,121,689,286,767,624,192/2,575,414,782
6. Step 6: Final answer
   x = 12,084,146,407.90