Finding the Third Proportional to 31,560 and 67,696

Step by Step Solution

1. Step 1: Write the proportion equation
   31,560 : 67,696 = 67,696 : x
2. Step 2: Convert to fraction form
   31,560/67,696 = 67,696/x
3. Step 3: Cross multiply
   31,560x = 67,696 × 67,696
4. Step 4: Simplify right side
   31,560x = 4,582,748,416
5. Step 5: Solve for x
   x = 4,582,748,416/31,560
6. Step 6: Final answer
   x = 145,207.49