Finding the Third Proportional to 14,402 and 31,328

Step by Step Solution

1. Step 1: Write the proportion equation
   14,402 : 31,328 = 31,328 : x
2. Step 2: Convert to fraction form
   14,402/31,328 = 31,328/x
3. Step 3: Cross multiply
   14,402x = 31,328 × 31,328
4. Step 4: Simplify right side
   14,402x = 981,443,584
5. Step 5: Solve for x
   x = 981,443,584/14,402
6. Step 6: Final answer
   x = 68,146.34