Finding the Third Proportional to 35,008 and 76,552

Step by Step Solution

1. Step 1: Write the proportion equation
   35,008 : 76,552 = 76,552 : x
2. Step 2: Convert to fraction form
   35,008/76,552 = 76,552/x
3. Step 3: Cross multiply
   35,008x = 76,552 × 76,552
4. Step 4: Simplify right side
   35,008x = 5,860,208,704
5. Step 5: Solve for x
   x = 5,860,208,704/35,008
6. Step 6: Final answer
   x = 167,396.27