Finding the Third Proportional to 35,900 and 52,026

Step by Step Solution

1. Step 1: Write the proportion equation
   35,900 : 52,026 = 52,026 : x
2. Step 2: Convert to fraction form
   35,900/52,026 = 52,026/x
3. Step 3: Cross multiply
   35,900x = 52,026 × 52,026
4. Step 4: Simplify right side
   35,900x = 2,706,704,676
5. Step 5: Solve for x
   x = 2,706,704,676/35,900
6. Step 6: Final answer
   x = 75,395.67