Finding the Third Proportional to 4,762.50 and 7,584

Step by Step Solution

1. Step 1: Write the proportion equation
   4,762.50 : 7,584 = 7,584 : x
2. Step 2: Convert to fraction form
   4,762.50/7,584 = 7,584/x
3. Step 3: Cross multiply
   4,762.50x = 7,584 × 7,584
4. Step 4: Simplify right side
   4,762.50x = 57,517,056
5. Step 5: Solve for x
   x = 57,517,056/4,762.50
6. Step 6: Final answer
   x = 12,077.07