Finding the Third Proportional to 39,801 and 86,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,801 : 86,983.50 = 86,983.50 : x
2. Step 2: Convert to fraction form
   39,801/86,983.50 = 86,983.50/x
3. Step 3: Cross multiply
   39,801x = 86,983.50 × 86,983.50
4. Step 4: Simplify right side
   39,801x = 7,566,129,272.25
5. Step 5: Solve for x
   x = 7,566,129,272.25/39,801
6. Step 6: Final answer
   x = 190,098.97