Finding the Third Proportional to 2,552.50 and 3,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.50 : 3,780.50 = 3,780.50 : x
2. Step 2: Convert to fraction form
   2,552.50/3,780.50 = 3,780.50/x
3. Step 3: Cross multiply
   2,552.50x = 3,780.50 × 3,780.50
4. Step 4: Simplify right side
   2,552.50x = 14,292,180.25
5. Step 5: Solve for x
   x = 14,292,180.25/2,552.50
6. Step 6: Final answer
   x = 5,599.29