Finding the Third Proportional to 37,654.50 and 81,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,654.50 : 81,507.50 = 81,507.50 : x
2. Step 2: Convert to fraction form
   37,654.50/81,507.50 = 81,507.50/x
3. Step 3: Cross multiply
   37,654.50x = 81,507.50 × 81,507.50
4. Step 4: Simplify right side
   37,654.50x = 6,643,472,556.25
5. Step 5: Solve for x
   x = 6,643,472,556.25/37,654.50
6. Step 6: Final answer
   x = 176,432.37