Finding the Third Proportional to 11,164.50 and 14,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164.50 : 14,762.25 = 14,762.25 : x
2. Step 2: Convert to fraction form
   11,164.50/14,762.25 = 14,762.25/x
3. Step 3: Cross multiply
   11,164.50x = 14,762.25 × 14,762.25
4. Step 4: Simplify right side
   11,164.50x = 217,924,025.06
5. Step 5: Solve for x
   x = 217,924,025.06/11,164.50
6. Step 6: Final answer
   x = 19,519.37