Finding the Third Proportional to 7,585 and 10,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,585 : 10,889.50 = 10,889.50 : x
2. Step 2: Convert to fraction form
   7,585/10,889.50 = 10,889.50/x
3. Step 3: Cross multiply
   7,585x = 10,889.50 × 10,889.50
4. Step 4: Simplify right side
   7,585x = 118,581,210.25
5. Step 5: Solve for x
   x = 118,581,210.25/7,585
6. Step 6: Final answer
   x = 15,633.65