Finding the Third Proportional to 39,744.75 and 84,090.38

Step by Step Solution

1. Step 1: Write the proportion equation
   39,744.75 : 84,090.38 = 84,090.38 : x
2. Step 2: Convert to fraction form
   39,744.75/84,090.38 = 84,090.38/x
3. Step 3: Cross multiply
   39,744.75x = 84,090.38 × 84,090.38
4. Step 4: Simplify right side
   39,744.75x = 7,071,191,167.64
5. Step 5: Solve for x
   x = 7,071,191,167.64/39,744.75
6. Step 6: Final answer
   x = 177,915.10