Finding the Third Proportional to 35,092 and 75,008

Step by Step Solution

1. Step 1: Write the proportion equation
   35,092 : 75,008 = 75,008 : x
2. Step 2: Convert to fraction form
   35,092/75,008 = 75,008/x
3. Step 3: Cross multiply
   35,092x = 75,008 × 75,008
4. Step 4: Simplify right side
   35,092x = 5,626,200,064
5. Step 5: Solve for x
   x = 5,626,200,064/35,092
6. Step 6: Final answer
   x = 160,327.14