Finding the Third Proportional to 31,480 and 68,140

Step by Step Solution

1. Step 1: Write the proportion equation
   31,480 : 68,140 = 68,140 : x
2. Step 2: Convert to fraction form
   31,480/68,140 = 68,140/x
3. Step 3: Cross multiply
   31,480x = 68,140 × 68,140
4. Step 4: Simplify right side
   31,480x = 4,643,059,600
5. Step 5: Solve for x
   x = 4,643,059,600/31,480
6. Step 6: Final answer
   x = 147,492.36