Finding the Third Proportional to 37,135.13 and 76,902.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,135.13 : 76,902.75 = 76,902.75 : x
2. Step 2: Convert to fraction form
   37,135.13/76,902.75 = 76,902.75/x
3. Step 3: Cross multiply
   37,135.13x = 76,902.75 × 76,902.75
4. Step 4: Simplify right side
   37,135.13x = 5,914,032,957.56
5. Step 5: Solve for x
   x = 5,914,032,957.56/37,135.13
6. Step 6: Final answer
   x = 159,257.12