Finding the Third Proportional to 2,415.52 and 4,827.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,415.52 : 4,827.85 = 4,827.85 : x
2. Step 2: Convert to fraction form
   2,415.52/4,827.85 = 4,827.85/x
3. Step 3: Cross multiply
   2,415.52x = 4,827.85 × 4,827.85
4. Step 4: Simplify right side
   2,415.52x = 23,308,089.42
5. Step 5: Solve for x
   x = 23,308,089.42/2,415.52
6. Step 6: Final answer
   x = 9,649.29