Finding the Third Proportional to 35,076 and 75,086

Step by Step Solution

1. Step 1: Write the proportion equation
   35,076 : 75,086 = 75,086 : x
2. Step 2: Convert to fraction form
   35,076/75,086 = 75,086/x
3. Step 3: Cross multiply
   35,076x = 75,086 × 75,086
4. Step 4: Simplify right side
   35,076x = 5,637,907,396
5. Step 5: Solve for x
   x = 5,637,907,396/35,076
6. Step 6: Final answer
   x = 160,734.05