Finding the Third Proportional to 1,557.50 and 2,417.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.50 : 2,417.25 = 2,417.25 : x
2. Step 2: Convert to fraction form
   1,557.50/2,417.25 = 2,417.25/x
3. Step 3: Cross multiply
   1,557.50x = 2,417.25 × 2,417.25
4. Step 4: Simplify right side
   1,557.50x = 5,843,097.56
5. Step 5: Solve for x
   x = 5,843,097.56/1,557.50
6. Step 6: Final answer
   x = 3,751.59