Finding the Third Proportional to 31,535 and 67,353

Step by Step Solution

1. Step 1: Write the proportion equation
   31,535 : 67,353 = 67,353 : x
2. Step 2: Convert to fraction form
   31,535/67,353 = 67,353/x
3. Step 3: Cross multiply
   31,535x = 67,353 × 67,353
4. Step 4: Simplify right side
   31,535x = 4,536,426,609
5. Step 5: Solve for x
   x = 4,536,426,609/31,535
6. Step 6: Final answer
   x = 143,853.71