Finding the Third Proportional to 5,077.50 and 10,911

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 10,911 = 10,911 : x
2. Step 2: Convert to fraction form
   5,077.50/10,911 = 10,911/x
3. Step 3: Cross multiply
   5,077.50x = 10,911 × 10,911
4. Step 4: Simplify right side
   5,077.50x = 119,049,921
5. Step 5: Solve for x
   x = 119,049,921/5,077.50
6. Step 6: Final answer
   x = 23,446.56