Finding the Third Proportional to 32,832 and 52,146

Step by Step Solution

1. Step 1: Write the proportion equation
   32,832 : 52,146 = 52,146 : x
2. Step 2: Convert to fraction form
   32,832/52,146 = 52,146/x
3. Step 3: Cross multiply
   32,832x = 52,146 × 52,146
4. Step 4: Simplify right side
   32,832x = 2,719,205,316
5. Step 5: Solve for x
   x = 2,719,205,316/32,832
6. Step 6: Final answer
   x = 82,821.80