Finding the Third Proportional to 37,057.50 and 76,565.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,057.50 : 76,565.25 = 76,565.25 : x
2. Step 2: Convert to fraction form
   37,057.50/76,565.25 = 76,565.25/x
3. Step 3: Cross multiply
   37,057.50x = 76,565.25 × 76,565.25
4. Step 4: Simplify right side
   37,057.50x = 5,862,237,507.56
5. Step 5: Solve for x
   x = 5,862,237,507.56/37,057.50
6. Step 6: Final answer
   x = 158,193.01