Finding the Third Proportional to 8,077.31 and 17,654.81

Step by Step Solution

1. Step 1: Write the proportion equation
   8,077.31 : 17,654.81 = 17,654.81 : x
2. Step 2: Convert to fraction form
   8,077.31/17,654.81 = 17,654.81/x
3. Step 3: Cross multiply
   8,077.31x = 17,654.81 × 17,654.81
4. Step 4: Simplify right side
   8,077.31x = 311,692,404.41
5. Step 5: Solve for x
   x = 311,692,404.41/8,077.31
6. Step 6: Final answer
   x = 38,588.63