Finding the Third Proportional to 5,663.25 and 8,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.25 : 8,842.50 = 8,842.50 : x
2. Step 2: Convert to fraction form
   5,663.25/8,842.50 = 8,842.50/x
3. Step 3: Cross multiply
   5,663.25x = 8,842.50 × 8,842.50
4. Step 4: Simplify right side
   5,663.25x = 78,189,806.25
5. Step 5: Solve for x
   x = 78,189,806.25/5,663.25
6. Step 6: Final answer
   x = 13,806.53