Finding the Third Proportional to 1,564.50 and 2,298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,298.75 = 2,298.75 : x
2. Step 2: Convert to fraction form
   1,564.50/2,298.75 = 2,298.75/x
3. Step 3: Cross multiply
   1,564.50x = 2,298.75 × 2,298.75
4. Step 4: Simplify right side
   1,564.50x = 5,284,251.56
5. Step 5: Solve for x
   x = 5,284,251.56/1,564.50
6. Step 6: Final answer
   x = 3,377.60