Finding the Third Proportional to 31,414 and 68,280

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 68,280 = 68,280 : x
2. Step 2: Convert to fraction form
   31,414/68,280 = 68,280/x
3. Step 3: Cross multiply
   31,414x = 68,280 × 68,280
4. Step 4: Simplify right side
   31,414x = 4,662,158,400
5. Step 5: Solve for x
   x = 4,662,158,400/31,414
6. Step 6: Final answer
   x = 148,410.21