Finding the Third Proportional to 9,585 and 12,881.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 12,881.25 = 12,881.25 : x
2. Step 2: Convert to fraction form
   9,585/12,881.25 = 12,881.25/x
3. Step 3: Cross multiply
   9,585x = 12,881.25 × 12,881.25
4. Step 4: Simplify right side
   9,585x = 165,926,601.56
5. Step 5: Solve for x
   x = 165,926,601.56/9,585
6. Step 6: Final answer
   x = 17,311.07