Finding the Third Proportional to 72,644 and 100,038

Step by Step Solution

1. Step 1: Write the proportion equation
   72,644 : 100,038 = 100,038 : x
2. Step 2: Convert to fraction form
   72,644/100,038 = 100,038/x
3. Step 3: Cross multiply
   72,644x = 100,038 × 100,038
4. Step 4: Simplify right side
   72,644x = 10,007,601,444
5. Step 5: Solve for x
   x = 10,007,601,444/72,644
6. Step 6: Final answer
   x = 137,762.26