Finding the Third Proportional to 29,664 and 65,158

Step by Step Solution

1. Step 1: Write the proportion equation
   29,664 : 65,158 = 65,158 : x
2. Step 2: Convert to fraction form
   29,664/65,158 = 65,158/x
3. Step 3: Cross multiply
   29,664x = 65,158 × 65,158
4. Step 4: Simplify right side
   29,664x = 4,245,564,964
5. Step 5: Solve for x
   x = 4,245,564,964/29,664
6. Step 6: Final answer
   x = 143,121.80