Finding the Third Proportional to 10,224 and 13,592

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 13,592 = 13,592 : x
2. Step 2: Convert to fraction form
   10,224/13,592 = 13,592/x
3. Step 3: Cross multiply
   10,224x = 13,592 × 13,592
4. Step 4: Simplify right side
   10,224x = 184,742,464
5. Step 5: Solve for x
   x = 184,742,464/10,224
6. Step 6: Final answer
   x = 18,069.49