Finding the Third Proportional to 29,656 and 65,146

Step by Step Solution

1. Step 1: Write the proportion equation
   29,656 : 65,146 = 65,146 : x
2. Step 2: Convert to fraction form
   29,656/65,146 = 65,146/x
3. Step 3: Cross multiply
   29,656x = 65,146 × 65,146
4. Step 4: Simplify right side
   29,656x = 4,244,001,316
5. Step 5: Solve for x
   x = 4,244,001,316/29,656
6. Step 6: Final answer
   x = 143,107.68