Finding the Third Proportional to 2,205.75 and 4,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.75 : 4,672.50 = 4,672.50 : x
2. Step 2: Convert to fraction form
   2,205.75/4,672.50 = 4,672.50/x
3. Step 3: Cross multiply
   2,205.75x = 4,672.50 × 4,672.50
4. Step 4: Simplify right side
   2,205.75x = 21,832,256.25
5. Step 5: Solve for x
   x = 21,832,256.25/2,205.75
6. Step 6: Final answer
   x = 9,897.88