Finding the Third Proportional to 5,298.75 and 7,819.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,298.75 : 7,819.88 = 7,819.88 : x
2. Step 2: Convert to fraction form
   5,298.75/7,819.88 = 7,819.88/x
3. Step 3: Cross multiply
   5,298.75x = 7,819.88 × 7,819.88
4. Step 4: Simplify right side
   5,298.75x = 61,150,445.02
5. Step 5: Solve for x
   x = 61,150,445.02/5,298.75
6. Step 6: Final answer
   x = 11,540.54