Finding the Third Proportional to 11,164.50 and 15,869.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164.50 : 15,869.25 = 15,869.25 : x
2. Step 2: Convert to fraction form
   11,164.50/15,869.25 = 15,869.25/x
3. Step 3: Cross multiply
   11,164.50x = 15,869.25 × 15,869.25
4. Step 4: Simplify right side
   11,164.50x = 251,833,095.56
5. Step 5: Solve for x
   x = 251,833,095.56/11,164.50
6. Step 6: Final answer
   x = 22,556.59