Finding the Third Proportional to 5,560 and 7,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,560 : 7,819.50 = 7,819.50 : x
2. Step 2: Convert to fraction form
   5,560/7,819.50 = 7,819.50/x
3. Step 3: Cross multiply
   5,560x = 7,819.50 × 7,819.50
4. Step 4: Simplify right side
   5,560x = 61,144,580.25
5. Step 5: Solve for x
   x = 61,144,580.25/5,560
6. Step 6: Final answer
   x = 10,997.23