Finding the Third Proportional to 5,141 and 7,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141 : 7,279.50 = 7,279.50 : x
2. Step 2: Convert to fraction form
   5,141/7,279.50 = 7,279.50/x
3. Step 3: Cross multiply
   5,141x = 7,279.50 × 7,279.50
4. Step 4: Simplify right side
   5,141x = 52,991,120.25
5. Step 5: Solve for x
   x = 52,991,120.25/5,141
6. Step 6: Final answer
   x = 10,307.55