Finding the Third Proportional to 31,402 and 69,122

Step by Step Solution

1. Step 1: Write the proportion equation
   31,402 : 69,122 = 69,122 : x
2. Step 2: Convert to fraction form
   31,402/69,122 = 69,122/x
3. Step 3: Cross multiply
   31,402x = 69,122 × 69,122
4. Step 4: Simplify right side
   31,402x = 4,777,850,884
5. Step 5: Solve for x
   x = 4,777,850,884/31,402
6. Step 6: Final answer
   x = 152,151.17