Finding the Third Proportional to 72,638 and 100,023

Step by Step Solution

1. Step 1: Write the proportion equation
   72,638 : 100,023 = 100,023 : x
2. Step 2: Convert to fraction form
   72,638/100,023 = 100,023/x
3. Step 3: Cross multiply
   72,638x = 100,023 × 100,023
4. Step 4: Simplify right side
   72,638x = 10,004,600,529
5. Step 5: Solve for x
   x = 10,004,600,529/72,638
6. Step 6: Final answer
   x = 137,732.32