Finding the Third Proportional to 9,196 and 14,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196 : 14,090.25 = 14,090.25 : x
2. Step 2: Convert to fraction form
   9,196/14,090.25 = 14,090.25/x
3. Step 3: Cross multiply
   9,196x = 14,090.25 × 14,090.25
4. Step 4: Simplify right side
   9,196x = 198,535,145.06
5. Step 5: Solve for x
   x = 198,535,145.06/9,196
6. Step 6: Final answer
   x = 21,589.29