Finding the Third Proportional to 1,188.84 and 1,752.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.84 : 1,752.47 = 1,752.47 : x
2. Step 2: Convert to fraction form
   1,188.84/1,752.47 = 1,752.47/x
3. Step 3: Cross multiply
   1,188.84x = 1,752.47 × 1,752.47
4. Step 4: Simplify right side
   1,188.84x = 3,071,146.72
5. Step 5: Solve for x
   x = 3,071,146.72/1,188.84
6. Step 6: Final answer
   x = 2,583.31