Finding the Third Proportional to 24,114 and 32,003

Step by Step Solution

1. Step 1: Write the proportion equation
   24,114 : 32,003 = 32,003 : x
2. Step 2: Convert to fraction form
   24,114/32,003 = 32,003/x
3. Step 3: Cross multiply
   24,114x = 32,003 × 32,003
4. Step 4: Simplify right side
   24,114x = 1,024,192,009
5. Step 5: Solve for x
   x = 1,024,192,009/24,114
6. Step 6: Final answer
   x = 42,472.92