Finding the Third Proportional to 2,880.56 and 4,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,880.56 : 4,657.50 = 4,657.50 : x
2. Step 2: Convert to fraction form
   2,880.56/4,657.50 = 4,657.50/x
3. Step 3: Cross multiply
   2,880.56x = 4,657.50 × 4,657.50
4. Step 4: Simplify right side
   2,880.56x = 21,692,306.25
5. Step 5: Solve for x
   x = 21,692,306.25/2,880.56
6. Step 6: Final answer
   x = 7,530.58