Finding the Third Proportional to 2,109.80 and 4,566.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.80 : 4,566.38 = 4,566.38 : x
2. Step 2: Convert to fraction form
   2,109.80/4,566.38 = 4,566.38/x
3. Step 3: Cross multiply
   2,109.80x = 4,566.38 × 4,566.38
4. Step 4: Simplify right side
   2,109.80x = 20,851,780.64
5. Step 5: Solve for x
   x = 20,851,780.64/2,109.80
6. Step 6: Final answer
   x = 9,883.31