Finding the Third Proportional to 11,547 and 17,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,547 : 17,872.50 = 17,872.50 : x
2. Step 2: Convert to fraction form
   11,547/17,872.50 = 17,872.50/x
3. Step 3: Cross multiply
   11,547x = 17,872.50 × 17,872.50
4. Step 4: Simplify right side
   11,547x = 319,426,256.25
5. Step 5: Solve for x
   x = 319,426,256.25/11,547
6. Step 6: Final answer
   x = 27,663.14