Finding the Third Proportional to 1,131.25 and 1,694.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.25 : 1,694.63 = 1,694.63 : x
2. Step 2: Convert to fraction form
   1,131.25/1,694.63 = 1,694.63/x
3. Step 3: Cross multiply
   1,131.25x = 1,694.63 × 1,694.63
4. Step 4: Simplify right side
   1,131.25x = 2,871,753.89
5. Step 5: Solve for x
   x = 2,871,753.89/1,131.25
6. Step 6: Final answer
   x = 2,538.57