Finding the Third Proportional to 5,583 and 10,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,583 : 10,882.50 = 10,882.50 : x
2. Step 2: Convert to fraction form
   5,583/10,882.50 = 10,882.50/x
3. Step 3: Cross multiply
   5,583x = 10,882.50 × 10,882.50
4. Step 4: Simplify right side
   5,583x = 118,428,806.25
5. Step 5: Solve for x
   x = 118,428,806.25/5,583
6. Step 6: Final answer
   x = 21,212.40