Finding the Third Proportional to 1,147.50 and 1,954.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.50 : 1,954.13 = 1,954.13 : x
2. Step 2: Convert to fraction form
   1,147.50/1,954.13 = 1,954.13/x
3. Step 3: Cross multiply
   1,147.50x = 1,954.13 × 1,954.13
4. Step 4: Simplify right side
   1,147.50x = 3,818,604.52
5. Step 5: Solve for x
   x = 3,818,604.52/1,147.50
6. Step 6: Final answer
   x = 3,327.76