Finding the Third Proportional to 32,846 and 71,146

Step by Step Solution

1. Step 1: Write the proportion equation
   32,846 : 71,146 = 71,146 : x
2. Step 2: Convert to fraction form
   32,846/71,146 = 71,146/x
3. Step 3: Cross multiply
   32,846x = 71,146 × 71,146
4. Step 4: Simplify right side
   32,846x = 5,061,753,316
5. Step 5: Solve for x
   x = 5,061,753,316/32,846
6. Step 6: Final answer
   x = 154,105.62