Finding the Third Proportional to 1,181.25 and 1,574.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.25 : 1,574.25 = 1,574.25 : x
2. Step 2: Convert to fraction form
   1,181.25/1,574.25 = 1,574.25/x
3. Step 3: Cross multiply
   1,181.25x = 1,574.25 × 1,574.25
4. Step 4: Simplify right side
   1,181.25x = 2,478,263.06
5. Step 5: Solve for x
   x = 2,478,263.06/1,181.25
6. Step 6: Final answer
   x = 2,098.00