Finding the Third Proportional to 37,744.88 and 77,128.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,744.88 : 77,128.88 = 77,128.88 : x
2. Step 2: Convert to fraction form
   37,744.88/77,128.88 = 77,128.88/x
3. Step 3: Cross multiply
   37,744.88x = 77,128.88 × 77,128.88
4. Step 4: Simplify right side
   37,744.88x = 5,948,863,358.77
5. Step 5: Solve for x
   x = 5,948,863,358.77/37,744.88
6. Step 6: Final answer
   x = 157,607.18