Finding the Third Proportional to 29,597 and 65,026

Step by Step Solution

1. Step 1: Write the proportion equation
   29,597 : 65,026 = 65,026 : x
2. Step 2: Convert to fraction form
   29,597/65,026 = 65,026/x
3. Step 3: Cross multiply
   29,597x = 65,026 × 65,026
4. Step 4: Simplify right side
   29,597x = 4,228,380,676
5. Step 5: Solve for x
   x = 4,228,380,676/29,597
6. Step 6: Final answer
   x = 142,865.18