Finding the Third Proportional to 38,986.31 and 83,796.40

Step by Step Solution

1. Step 1: Write the proportion equation
   38,986.31 : 83,796.40 = 83,796.40 : x
2. Step 2: Convert to fraction form
   38,986.31/83,796.40 = 83,796.40/x
3. Step 3: Cross multiply
   38,986.31x = 83,796.40 × 83,796.40
4. Step 4: Simplify right side
   38,986.31x = 7,021,836,391.10
5. Step 5: Solve for x
   x = 7,021,836,391.10/38,986.31
6. Step 6: Final answer
   x = 180,110.30