Finding the Third Proportional to 35,008 and 52,000

Step by Step Solution

1. Step 1: Write the proportion equation
   35,008 : 52,000 = 52,000 : x
2. Step 2: Convert to fraction form
   35,008/52,000 = 52,000/x
3. Step 3: Cross multiply
   35,008x = 52,000 × 52,000
4. Step 4: Simplify right side
   35,008x = 2,704,000,000
5. Step 5: Solve for x
   x = 2,704,000,000/35,008
6. Step 6: Final answer
   x = 77,239.49