Finding the Third Proportional to 1,147.50 and 1,505.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.50 : 1,505.25 = 1,505.25 : x
2. Step 2: Convert to fraction form
   1,147.50/1,505.25 = 1,505.25/x
3. Step 3: Cross multiply
   1,147.50x = 1,505.25 × 1,505.25
4. Step 4: Simplify right side
   1,147.50x = 2,265,777.56
5. Step 5: Solve for x
   x = 2,265,777.56/1,147.50
6. Step 6: Final answer
   x = 1,974.53