Finding the Third Proportional to 31,662 and 68,346

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 68,346 = 68,346 : x
2. Step 2: Convert to fraction form
   31,662/68,346 = 68,346/x
3. Step 3: Cross multiply
   31,662x = 68,346 × 68,346
4. Step 4: Simplify right side
   31,662x = 4,671,175,716
5. Step 5: Solve for x
   x = 4,671,175,716/31,662
6. Step 6: Final answer
   x = 147,532.55