Finding the Third Proportional to 1,784.53 and 4,112.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.53 : 4,112.72 = 4,112.72 : x
2. Step 2: Convert to fraction form
   1,784.53/4,112.72 = 4,112.72/x
3. Step 3: Cross multiply
   1,784.53x = 4,112.72 × 4,112.72
4. Step 4: Simplify right side
   1,784.53x = 16,914,455.52
5. Step 5: Solve for x
   x = 16,914,455.52/1,784.53
6. Step 6: Final answer
   x = 9,478.37