Finding the Third Proportional to 31,529 and 68,260

Step by Step Solution

1. Step 1: Write the proportion equation
   31,529 : 68,260 = 68,260 : x
2. Step 2: Convert to fraction form
   31,529/68,260 = 68,260/x
3. Step 3: Cross multiply
   31,529x = 68,260 × 68,260
4. Step 4: Simplify right side
   31,529x = 4,659,427,600
5. Step 5: Solve for x
   x = 4,659,427,600/31,529
6. Step 6: Final answer
   x = 147,782.28