Finding the Third Proportional to 31,208 and 67,598

Step by Step Solution

1. Step 1: Write the proportion equation
   31,208 : 67,598 = 67,598 : x
2. Step 2: Convert to fraction form
   31,208/67,598 = 67,598/x
3. Step 3: Cross multiply
   31,208x = 67,598 × 67,598
4. Step 4: Simplify right side
   31,208x = 4,569,489,604
5. Step 5: Solve for x
   x = 4,569,489,604/31,208
6. Step 6: Final answer
   x = 146,420.46