Finding the Third Proportional to 39,059.34 and 83,654.16

Step by Step Solution

1. Step 1: Write the proportion equation
   39,059.34 : 83,654.16 = 83,654.16 : x
2. Step 2: Convert to fraction form
   39,059.34/83,654.16 = 83,654.16/x
3. Step 3: Cross multiply
   39,059.34x = 83,654.16 × 83,654.16
4. Step 4: Simplify right side
   39,059.34x = 6,998,017,857.90
5. Step 5: Solve for x
   x = 6,998,017,857.90/39,059.34
6. Step 6: Final answer
   x = 179,163.73