Finding the Third Proportional to 2,188 and 4,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188 : 4,635.50 = 4,635.50 : x
2. Step 2: Convert to fraction form
   2,188/4,635.50 = 4,635.50/x
3. Step 3: Cross multiply
   2,188x = 4,635.50 × 4,635.50
4. Step 4: Simplify right side
   2,188x = 21,487,860.25
5. Step 5: Solve for x
   x = 21,487,860.25/2,188
6. Step 6: Final answer
   x = 9,820.78