Finding the Third Proportional to 5,077.50 and 10,711

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 10,711 = 10,711 : x
2. Step 2: Convert to fraction form
   5,077.50/10,711 = 10,711/x
3. Step 3: Cross multiply
   5,077.50x = 10,711 × 10,711
4. Step 4: Simplify right side
   5,077.50x = 114,725,521
5. Step 5: Solve for x
   x = 114,725,521/5,077.50
6. Step 6: Final answer
   x = 22,594.88