Finding the Third Proportional to 1,598.50 and 2,138.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,598.50 : 2,138.75 = 2,138.75 : x
2. Step 2: Convert to fraction form
   1,598.50/2,138.75 = 2,138.75/x
3. Step 3: Cross multiply
   1,598.50x = 2,138.75 × 2,138.75
4. Step 4: Simplify right side
   1,598.50x = 4,574,251.56
5. Step 5: Solve for x
   x = 4,574,251.56/1,598.50
6. Step 6: Final answer
   x = 2,861.59