Finding the Third Proportional to 35,597 and 75,114

Step by Step Solution

1. Step 1: Write the proportion equation
   35,597 : 75,114 = 75,114 : x
2. Step 2: Convert to fraction form
   35,597/75,114 = 75,114/x
3. Step 3: Cross multiply
   35,597x = 75,114 × 75,114
4. Step 4: Simplify right side
   35,597x = 5,642,112,996
5. Step 5: Solve for x
   x = 5,642,112,996/35,597
6. Step 6: Final answer
   x = 158,499.68