Finding the Third Proportional to 39,010.50 and 82,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,010.50 : 82,669.50 = 82,669.50 : x
2. Step 2: Convert to fraction form
   39,010.50/82,669.50 = 82,669.50/x
3. Step 3: Cross multiply
   39,010.50x = 82,669.50 × 82,669.50
4. Step 4: Simplify right side
   39,010.50x = 6,834,246,230.25
5. Step 5: Solve for x
   x = 6,834,246,230.25/39,010.50
6. Step 6: Final answer
   x = 175,189.92