Finding the Third Proportional to 15,834 and 34,146

Step by Step Solution

1. Step 1: Write the proportion equation
   15,834 : 34,146 = 34,146 : x
2. Step 2: Convert to fraction form
   15,834/34,146 = 34,146/x
3. Step 3: Cross multiply
   15,834x = 34,146 × 34,146
4. Step 4: Simplify right side
   15,834x = 1,165,949,316
5. Step 5: Solve for x
   x = 1,165,949,316/15,834
6. Step 6: Final answer
   x = 73,635.80