Finding the Third Proportional to 31,229 and 67,639

Step by Step Solution

1. Step 1: Write the proportion equation
   31,229 : 67,639 = 67,639 : x
2. Step 2: Convert to fraction form
   31,229/67,639 = 67,639/x
3. Step 3: Cross multiply
   31,229x = 67,639 × 67,639
4. Step 4: Simplify right side
   31,229x = 4,575,034,321
5. Step 5: Solve for x
   x = 4,575,034,321/31,229
6. Step 6: Final answer
   x = 146,499.55