Finding the Third Proportional to 10,188 and 13,527

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 13,527 = 13,527 : x
2. Step 2: Convert to fraction form
   10,188/13,527 = 13,527/x
3. Step 3: Cross multiply
   10,188x = 13,527 × 13,527
4. Step 4: Simplify right side
   10,188x = 182,979,729
5. Step 5: Solve for x
   x = 182,979,729/10,188
6. Step 6: Final answer
   x = 17,960.32