Finding the Third Proportional to 4,856.63 and 7,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,856.63 : 7,123.88 = 7,123.88 : x
2. Step 2: Convert to fraction form
   4,856.63/7,123.88 = 7,123.88/x
3. Step 3: Cross multiply
   4,856.63x = 7,123.88 × 7,123.88
4. Step 4: Simplify right side
   4,856.63x = 50,749,595.02
5. Step 5: Solve for x
   x = 50,749,595.02/4,856.63
6. Step 6: Final answer
   x = 10,449.56