Finding the Third Proportional to 29,805 and 65,146

Step by Step Solution

1. Step 1: Write the proportion equation
   29,805 : 65,146 = 65,146 : x
2. Step 2: Convert to fraction form
   29,805/65,146 = 65,146/x
3. Step 3: Cross multiply
   29,805x = 65,146 × 65,146
4. Step 4: Simplify right side
   29,805x = 4,244,001,316
5. Step 5: Solve for x
   x = 4,244,001,316/29,805
6. Step 6: Final answer
   x = 142,392.26