Finding the Third Proportional to 11,915 and 17,527

Step by Step Solution

1. Step 1: Write the proportion equation
   11,915 : 17,527 = 17,527 : x
2. Step 2: Convert to fraction form
   11,915/17,527 = 17,527/x
3. Step 3: Cross multiply
   11,915x = 17,527 × 17,527
4. Step 4: Simplify right side
   11,915x = 307,195,729
5. Step 5: Solve for x
   x = 307,195,729/11,915
6. Step 6: Final answer
   x = 25,782.27