Finding the Third Proportional to 4,132 and 5,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,132 : 5,779.50 = 5,779.50 : x
2. Step 2: Convert to fraction form
   4,132/5,779.50 = 5,779.50/x
3. Step 3: Cross multiply
   4,132x = 5,779.50 × 5,779.50
4. Step 4: Simplify right side
   4,132x = 33,402,620.25
5. Step 5: Solve for x
   x = 33,402,620.25/4,132
6. Step 6: Final answer
   x = 8,083.89