Finding the Third Proportional to 35,399 and 52,429

Step by Step Solution

1. Step 1: Write the proportion equation
   35,399 : 52,429 = 52,429 : x
2. Step 2: Convert to fraction form
   35,399/52,429 = 52,429/x
3. Step 3: Cross multiply
   35,399x = 52,429 × 52,429
4. Step 4: Simplify right side
   35,399x = 2,748,800,041
5. Step 5: Solve for x
   x = 2,748,800,041/35,399
6. Step 6: Final answer
   x = 77,651.91