Finding the Third Proportional to 2,139.75 and 4,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,139.75 : 4,711.50 = 4,711.50 : x
2. Step 2: Convert to fraction form
   2,139.75/4,711.50 = 4,711.50/x
3. Step 3: Cross multiply
   2,139.75x = 4,711.50 × 4,711.50
4. Step 4: Simplify right side
   2,139.75x = 22,198,232.25
5. Step 5: Solve for x
   x = 22,198,232.25/2,139.75
6. Step 6: Final answer
   x = 10,374.22