Finding the Third Proportional to 29,596 and 65,023

Step by Step Solution

1. Step 1: Write the proportion equation
   29,596 : 65,023 = 65,023 : x
2. Step 2: Convert to fraction form
   29,596/65,023 = 65,023/x
3. Step 3: Cross multiply
   29,596x = 65,023 × 65,023
4. Step 4: Simplify right side
   29,596x = 4,227,990,529
5. Step 5: Solve for x
   x = 4,227,990,529/29,596
6. Step 6: Final answer
   x = 142,856.82