Finding the Third Proportional to 35,144.50 and 75,902

Step by Step Solution

1. Step 1: Write the proportion equation
   35,144.50 : 75,902 = 75,902 : x
2. Step 2: Convert to fraction form
   35,144.50/75,902 = 75,902/x
3. Step 3: Cross multiply
   35,144.50x = 75,902 × 75,902
4. Step 4: Simplify right side
   35,144.50x = 5,761,113,604
5. Step 5: Solve for x
   x = 5,761,113,604/35,144.50
6. Step 6: Final answer
   x = 163,926.46