Finding the Third Proportional to 13,547.50 and 16,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,547.50 : 16,008.50 = 16,008.50 : x
2. Step 2: Convert to fraction form
   13,547.50/16,008.50 = 16,008.50/x
3. Step 3: Cross multiply
   13,547.50x = 16,008.50 × 16,008.50
4. Step 4: Simplify right side
   13,547.50x = 256,272,072.25
5. Step 5: Solve for x
   x = 256,272,072.25/13,547.50
6. Step 6: Final answer
   x = 18,916.56