Finding the Third Proportional to 24,314 and 52,422

Step by Step Solution

1. Step 1: Write the proportion equation
   24,314 : 52,422 = 52,422 : x
2. Step 2: Convert to fraction form
   24,314/52,422 = 52,422/x
3. Step 3: Cross multiply
   24,314x = 52,422 × 52,422
4. Step 4: Simplify right side
   24,314x = 2,748,066,084
5. Step 5: Solve for x
   x = 2,748,066,084/24,314
6. Step 6: Final answer
   x = 113,024.02