Finding the Third Proportional to 4,842.50 and 7,482.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,842.50 : 7,482.75 = 7,482.75 : x
2. Step 2: Convert to fraction form
   4,842.50/7,482.75 = 7,482.75/x
3. Step 3: Cross multiply
   4,842.50x = 7,482.75 × 7,482.75
4. Step 4: Simplify right side
   4,842.50x = 55,991,547.56
5. Step 5: Solve for x
   x = 55,991,547.56/4,842.50
6. Step 6: Final answer
   x = 11,562.53