Finding the Third Proportional to 5,581.50 and 8,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,581.50 : 8,827.50 = 8,827.50 : x
2. Step 2: Convert to fraction form
   5,581.50/8,827.50 = 8,827.50/x
3. Step 3: Cross multiply
   5,581.50x = 8,827.50 × 8,827.50
4. Step 4: Simplify right side
   5,581.50x = 77,924,756.25
5. Step 5: Solve for x
   x = 77,924,756.25/5,581.50
6. Step 6: Final answer
   x = 13,961.26