Finding the Third Proportional to 3,669.75 and 5,641.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,669.75 : 5,641.88 = 5,641.88 : x
2. Step 2: Convert to fraction form
   3,669.75/5,641.88 = 5,641.88/x
3. Step 3: Cross multiply
   3,669.75x = 5,641.88 × 5,641.88
4. Step 4: Simplify right side
   3,669.75x = 31,830,753.52
5. Step 5: Solve for x
   x = 31,830,753.52/3,669.75
6. Step 6: Final answer
   x = 8,673.82