Finding the Third Proportional to 35,898 and 52,023

Step by Step Solution

1. Step 1: Write the proportion equation
   35,898 : 52,023 = 52,023 : x
2. Step 2: Convert to fraction form
   35,898/52,023 = 52,023/x
3. Step 3: Cross multiply
   35,898x = 52,023 × 52,023
4. Step 4: Simplify right side
   35,898x = 2,706,392,529
5. Step 5: Solve for x
   x = 2,706,392,529/35,898
6. Step 6: Final answer
   x = 75,391.18