Finding the Third Proportional to 32,779.69 and 39,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,779.69 : 39,649.50 = 39,649.50 : x
2. Step 2: Convert to fraction form
   32,779.69/39,649.50 = 39,649.50/x
3. Step 3: Cross multiply
   32,779.69x = 39,649.50 × 39,649.50
4. Step 4: Simplify right side
   32,779.69x = 1,572,082,850.25
5. Step 5: Solve for x
   x = 1,572,082,850.25/32,779.69
6. Step 6: Final answer
   x = 47,959.06