Finding the Third Proportional to 31,976 and 68,332

Step by Step Solution

1. Step 1: Write the proportion equation
   31,976 : 68,332 = 68,332 : x
2. Step 2: Convert to fraction form
   31,976/68,332 = 68,332/x
3. Step 3: Cross multiply
   31,976x = 68,332 × 68,332
4. Step 4: Simplify right side
   31,976x = 4,669,262,224
5. Step 5: Solve for x
   x = 4,669,262,224/31,976
6. Step 6: Final answer
   x = 146,023.96