Finding the Third Proportional to 31,429 and 67,779

Step by Step Solution

1. Step 1: Write the proportion equation
   31,429 : 67,779 = 67,779 : x
2. Step 2: Convert to fraction form
   31,429/67,779 = 67,779/x
3. Step 3: Cross multiply
   31,429x = 67,779 × 67,779
4. Step 4: Simplify right side
   31,429x = 4,593,992,841
5. Step 5: Solve for x
   x = 4,593,992,841/31,429
6. Step 6: Final answer
   x = 146,170.51