Finding the Third Proportional to 5,140.63 and 7,748.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140.63 : 7,748.88 = 7,748.88 : x
2. Step 2: Convert to fraction form
   5,140.63/7,748.88 = 7,748.88/x
3. Step 3: Cross multiply
   5,140.63x = 7,748.88 × 7,748.88
4. Step 4: Simplify right side
   5,140.63x = 60,045,063.77
5. Step 5: Solve for x
   x = 60,045,063.77/5,140.63
6. Step 6: Final answer
   x = 11,680.50