Finding the Third Proportional to 1,131.75 and 1,461.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.75 : 1,461.94 = 1,461.94 : x
2. Step 2: Convert to fraction form
   1,131.75/1,461.94 = 1,461.94/x
3. Step 3: Cross multiply
   1,131.75x = 1,461.94 × 1,461.94
4. Step 4: Simplify right side
   1,131.75x = 2,137,261.25
5. Step 5: Solve for x
   x = 2,137,261.25/1,131.75
6. Step 6: Final answer
   x = 1,888.46