Finding the Third Proportional to 4,929.50 and 7,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,929.50 : 7,412.50 = 7,412.50 : x
2. Step 2: Convert to fraction form
   4,929.50/7,412.50 = 7,412.50/x
3. Step 3: Cross multiply
   4,929.50x = 7,412.50 × 7,412.50
4. Step 4: Simplify right side
   4,929.50x = 54,945,156.25
5. Step 5: Solve for x
   x = 54,945,156.25/4,929.50
6. Step 6: Final answer
   x = 11,146.19