Finding the Third Proportional to 72,642 and 100,035

Step by Step Solution

1. Step 1: Write the proportion equation
   72,642 : 100,035 = 100,035 : x
2. Step 2: Convert to fraction form
   72,642/100,035 = 100,035/x
3. Step 3: Cross multiply
   72,642x = 100,035 × 100,035
4. Step 4: Simplify right side
   72,642x = 10,007,001,225
5. Step 5: Solve for x
   x = 10,007,001,225/72,642
6. Step 6: Final answer
   x = 137,757.79