Finding the Third Proportional to 31,782 and 68,490

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 68,490 = 68,490 : x
2. Step 2: Convert to fraction form
   31,782/68,490 = 68,490/x
3. Step 3: Cross multiply
   31,782x = 68,490 × 68,490
4. Step 4: Simplify right side
   31,782x = 4,690,880,100
5. Step 5: Solve for x
   x = 4,690,880,100/31,782
6. Step 6: Final answer
   x = 147,595.50