Finding the Third Proportional to 55,131.75 and 77,639.13

Step by Step Solution

1. Step 1: Write the proportion equation
   55,131.75 : 77,639.13 = 77,639.13 : x
2. Step 2: Convert to fraction form
   55,131.75/77,639.13 = 77,639.13/x
3. Step 3: Cross multiply
   55,131.75x = 77,639.13 × 77,639.13
4. Step 4: Simplify right side
   55,131.75x = 6,027,834,943.88
5. Step 5: Solve for x
   x = 6,027,834,943.88/55,131.75
6. Step 6: Final answer
   x = 109,335.09