Finding the Third Proportional to 5,074.88 and 7,586.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,074.88 : 7,586.63 = 7,586.63 : x
2. Step 2: Convert to fraction form
   5,074.88/7,586.63 = 7,586.63/x
3. Step 3: Cross multiply
   5,074.88x = 7,586.63 × 7,586.63
4. Step 4: Simplify right side
   5,074.88x = 57,556,878.89
5. Step 5: Solve for x
   x = 57,556,878.89/5,074.88
6. Step 6: Final answer
   x = 11,341.54