Finding the Third Proportional to 31,138 and 67,460

Step by Step Solution

1. Step 1: Write the proportion equation
   31,138 : 67,460 = 67,460 : x
2. Step 2: Convert to fraction form
   31,138/67,460 = 67,460/x
3. Step 3: Cross multiply
   31,138x = 67,460 × 67,460
4. Step 4: Simplify right side
   31,138x = 4,550,851,600
5. Step 5: Solve for x
   x = 4,550,851,600/31,138
6. Step 6: Final answer
   x = 146,151.06