Finding the Third Proportional to 1,146.66 and 1,784.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.66 : 1,784.53 = 1,784.53 : x
2. Step 2: Convert to fraction form
   1,146.66/1,784.53 = 1,784.53/x
3. Step 3: Cross multiply
   1,146.66x = 1,784.53 × 1,784.53
4. Step 4: Simplify right side
   1,146.66x = 3,184,551.78
5. Step 5: Solve for x
   x = 3,184,551.78/1,146.66
6. Step 6: Final answer
   x = 2,777.25