Finding the Third Proportional to 39,021 and 83,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,021 : 83,959.50 = 83,959.50 : x
2. Step 2: Convert to fraction form
   39,021/83,959.50 = 83,959.50/x
3. Step 3: Cross multiply
   39,021x = 83,959.50 × 83,959.50
4. Step 4: Simplify right side
   39,021x = 7,049,197,640.25
5. Step 5: Solve for x
   x = 7,049,197,640.25/39,021
6. Step 6: Final answer
   x = 180,651.38