Finding the Third Proportional to 1,728.84 and 4,152.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.84 : 4,152.52 = 4,152.52 : x
2. Step 2: Convert to fraction form
   1,728.84/4,152.52 = 4,152.52/x
3. Step 3: Cross multiply
   1,728.84x = 4,152.52 × 4,152.52
4. Step 4: Simplify right side
   1,728.84x = 17,243,386.02
5. Step 5: Solve for x
   x = 17,243,386.02/1,728.84
6. Step 6: Final answer
   x = 9,973.94