Finding the Third Proportional to 9,196 and 14,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196 : 14,568.50 = 14,568.50 : x
2. Step 2: Convert to fraction form
   9,196/14,568.50 = 14,568.50/x
3. Step 3: Cross multiply
   9,196x = 14,568.50 × 14,568.50
4. Step 4: Simplify right side
   9,196x = 212,241,192.25
5. Step 5: Solve for x
   x = 212,241,192.25/9,196
6. Step 6: Final answer
   x = 23,079.73