Finding the Third Proportional to 48,596 and 72,640

Step by Step Solution

1. Step 1: Write the proportion equation
   48,596 : 72,640 = 72,640 : x
2. Step 2: Convert to fraction form
   48,596/72,640 = 72,640/x
3. Step 3: Cross multiply
   48,596x = 72,640 × 72,640
4. Step 4: Simplify right side
   48,596x = 5,276,569,600
5. Step 5: Solve for x
   x = 5,276,569,600/48,596
6. Step 6: Final answer
   x = 108,580.33