Finding the Third Proportional to 35,440 and 72,517

Step by Step Solution

1. Step 1: Write the proportion equation
   35,440 : 72,517 = 72,517 : x
2. Step 2: Convert to fraction form
   35,440/72,517 = 72,517/x
3. Step 3: Cross multiply
   35,440x = 72,517 × 72,517
4. Step 4: Simplify right side
   35,440x = 5,258,715,289
5. Step 5: Solve for x
   x = 5,258,715,289/35,440
6. Step 6: Final answer
   x = 148,383.61