Finding the Third Proportional to 2,572.50 and 6,071.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,572.50 : 6,071.25 = 6,071.25 : x
2. Step 2: Convert to fraction form
   2,572.50/6,071.25 = 6,071.25/x
3. Step 3: Cross multiply
   2,572.50x = 6,071.25 × 6,071.25
4. Step 4: Simplify right side
   2,572.50x = 36,860,076.56
5. Step 5: Solve for x
   x = 36,860,076.56/2,572.50
6. Step 6: Final answer
   x = 14,328.50