Finding the Third Proportional to 5,588.25 and 8,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588.25 : 8,656.50 = 8,656.50 : x
2. Step 2: Convert to fraction form
   5,588.25/8,656.50 = 8,656.50/x
3. Step 3: Cross multiply
   5,588.25x = 8,656.50 × 8,656.50
4. Step 4: Simplify right side
   5,588.25x = 74,934,992.25
5. Step 5: Solve for x
   x = 74,934,992.25/5,588.25
6. Step 6: Final answer
   x = 13,409.38