Finding the Third Proportional to 34,640 and 71,520

Step by Step Solution

1. Step 1: Write the proportion equation
   34,640 : 71,520 = 71,520 : x
2. Step 2: Convert to fraction form
   34,640/71,520 = 71,520/x
3. Step 3: Cross multiply
   34,640x = 71,520 × 71,520
4. Step 4: Simplify right side
   34,640x = 5,115,110,400
5. Step 5: Solve for x
   x = 5,115,110,400/34,640
6. Step 6: Final answer
   x = 147,664.85