Finding the Third Proportional to 10,191.50 and 22,078

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191.50 : 22,078 = 22,078 : x
2. Step 2: Convert to fraction form
   10,191.50/22,078 = 22,078/x
3. Step 3: Cross multiply
   10,191.50x = 22,078 × 22,078
4. Step 4: Simplify right side
   10,191.50x = 487,438,084
5. Step 5: Solve for x
   x = 487,438,084/10,191.50
6. Step 6: Final answer
   x = 47,827.90