Finding the Third Proportional to 32,007 and 42,825

Step by Step Solution

1. Step 1: Write the proportion equation
   32,007 : 42,825 = 42,825 : x
2. Step 2: Convert to fraction form
   32,007/42,825 = 42,825/x
3. Step 3: Cross multiply
   32,007x = 42,825 × 42,825
4. Step 4: Simplify right side
   32,007x = 1,833,980,625
5. Step 5: Solve for x
   x = 1,833,980,625/32,007
6. Step 6: Final answer
   x = 57,299.36