Finding the Third Proportional to 5,847.75 and 8,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,847.75 : 8,779.50 = 8,779.50 : x
2. Step 2: Convert to fraction form
   5,847.75/8,779.50 = 8,779.50/x
3. Step 3: Cross multiply
   5,847.75x = 8,779.50 × 8,779.50
4. Step 4: Simplify right side
   5,847.75x = 77,079,620.25
5. Step 5: Solve for x
   x = 77,079,620.25/5,847.75
6. Step 6: Final answer
   x = 13,181.07