Finding the Third Proportional to 2,152.50 and 4,598.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.50 : 4,598.75 = 4,598.75 : x
2. Step 2: Convert to fraction form
   2,152.50/4,598.75 = 4,598.75/x
3. Step 3: Cross multiply
   2,152.50x = 4,598.75 × 4,598.75
4. Step 4: Simplify right side
   2,152.50x = 21,148,501.56
5. Step 5: Solve for x
   x = 21,148,501.56/2,152.50
6. Step 6: Final answer
   x = 9,825.09