Finding the Third Proportional to 2,572.50 and 4,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,572.50 : 4,760.25 = 4,760.25 : x
2. Step 2: Convert to fraction form
   2,572.50/4,760.25 = 4,760.25/x
3. Step 3: Cross multiply
   2,572.50x = 4,760.25 × 4,760.25
4. Step 4: Simplify right side
   2,572.50x = 22,659,980.06
5. Step 5: Solve for x
   x = 22,659,980.06/2,572.50
6. Step 6: Final answer
   x = 8,808.54