Finding the Third Proportional to 11,164 and 14,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 14,892.25 = 14,892.25 : x
2. Step 2: Convert to fraction form
   11,164/14,892.25 = 14,892.25/x
3. Step 3: Cross multiply
   11,164x = 14,892.25 × 14,892.25
4. Step 4: Simplify right side
   11,164x = 221,779,110.06
5. Step 5: Solve for x
   x = 221,779,110.06/11,164
6. Step 6: Final answer
   x = 19,865.56