Finding the Third Proportional to 24,032 and 32,146

Step by Step Solution

1. Step 1: Write the proportion equation
   24,032 : 32,146 = 32,146 : x
2. Step 2: Convert to fraction form
   24,032/32,146 = 32,146/x
3. Step 3: Cross multiply
   24,032x = 32,146 × 32,146
4. Step 4: Simplify right side
   24,032x = 1,033,365,316
5. Step 5: Solve for x
   x = 1,033,365,316/24,032
6. Step 6: Final answer
   x = 42,999.56