Finding the Third Proportional to 1,526.25 and 2,045.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.25 : 2,045.25 = 2,045.25 : x
2. Step 2: Convert to fraction form
   1,526.25/2,045.25 = 2,045.25/x
3. Step 3: Cross multiply
   1,526.25x = 2,045.25 × 2,045.25
4. Step 4: Simplify right side
   1,526.25x = 4,183,047.56
5. Step 5: Solve for x
   x = 4,183,047.56/1,526.25
6. Step 6: Final answer
   x = 2,740.74