Finding the Third Proportional to 20,947.50 and 39,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,947.50 : 39,829.50 = 39,829.50 : x
2. Step 2: Convert to fraction form
   20,947.50/39,829.50 = 39,829.50/x
3. Step 3: Cross multiply
   20,947.50x = 39,829.50 × 39,829.50
4. Step 4: Simplify right side
   20,947.50x = 1,586,389,070.25
5. Step 5: Solve for x
   x = 1,586,389,070.25/20,947.50
6. Step 6: Final answer
   x = 75,731.67