Finding the Third Proportional to 35,530 and 52,143

Step by Step Solution

1. Step 1: Write the proportion equation
   35,530 : 52,143 = 52,143 : x
2. Step 2: Convert to fraction form
   35,530/52,143 = 52,143/x
3. Step 3: Cross multiply
   35,530x = 52,143 × 52,143
4. Step 4: Simplify right side
   35,530x = 2,718,892,449
5. Step 5: Solve for x
   x = 2,718,892,449/35,530
6. Step 6: Final answer
   x = 76,523.85