Finding the Third Proportional to 2,077.88 and 4,469.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.88 : 4,469.63 = 4,469.63 : x
2. Step 2: Convert to fraction form
   2,077.88/4,469.63 = 4,469.63/x
3. Step 3: Cross multiply
   2,077.88x = 4,469.63 × 4,469.63
4. Step 4: Simplify right side
   2,077.88x = 19,977,547.64
5. Step 5: Solve for x
   x = 19,977,547.64/2,077.88
6. Step 6: Final answer
   x = 9,614.41