Finding the Third Proportional to 13,402 and 31,162

Step by Step Solution

1. Step 1: Write the proportion equation
   13,402 : 31,162 = 31,162 : x
2. Step 2: Convert to fraction form
   13,402/31,162 = 31,162/x
3. Step 3: Cross multiply
   13,402x = 31,162 × 31,162
4. Step 4: Simplify right side
   13,402x = 971,070,244
5. Step 5: Solve for x
   x = 971,070,244/13,402
6. Step 6: Final answer
   x = 72,457.11