Finding the Third Proportional to 72,640 and 100,026

Step by Step Solution

1. Step 1: Write the proportion equation
   72,640 : 100,026 = 100,026 : x
2. Step 2: Convert to fraction form
   72,640/100,026 = 100,026/x
3. Step 3: Cross multiply
   72,640x = 100,026 × 100,026
4. Step 4: Simplify right side
   72,640x = 10,005,200,676
5. Step 5: Solve for x
   x = 10,005,200,676/72,640
6. Step 6: Final answer
   x = 137,736.79