Finding the Third Proportional to 14,402 and 23,516

Step by Step Solution

1. Step 1: Write the proportion equation
   14,402 : 23,516 = 23,516 : x
2. Step 2: Convert to fraction form
   14,402/23,516 = 23,516/x
3. Step 3: Cross multiply
   14,402x = 23,516 × 23,516
4. Step 4: Simplify right side
   14,402x = 553,002,256
5. Step 5: Solve for x
   x = 553,002,256/14,402
6. Step 6: Final answer
   x = 38,397.60