Finding the Third Proportional to 12,655 and 17,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,655 : 17,547.50 = 17,547.50 : x
2. Step 2: Convert to fraction form
   12,655/17,547.50 = 17,547.50/x
3. Step 3: Cross multiply
   12,655x = 17,547.50 × 17,547.50
4. Step 4: Simplify right side
   12,655x = 307,914,756.25
5. Step 5: Solve for x
   x = 307,914,756.25/12,655
6. Step 6: Final answer
   x = 24,331.47