Finding the Third Proportional to 37,507.50 and 81,454.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,507.50 : 81,454.88 = 81,454.88 : x
2. Step 2: Convert to fraction form
   37,507.50/81,454.88 = 81,454.88/x
3. Step 3: Cross multiply
   37,507.50x = 81,454.88 × 81,454.88
4. Step 4: Simplify right side
   37,507.50x = 6,634,896,661.27
5. Step 5: Solve for x
   x = 6,634,896,661.27/37,507.50
6. Step 6: Final answer
   x = 176,895.20