Finding the Third Proportional to 12,347 and 17,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,347 : 17,643.50 = 17,643.50 : x
2. Step 2: Convert to fraction form
   12,347/17,643.50 = 17,643.50/x
3. Step 3: Cross multiply
   12,347x = 17,643.50 × 17,643.50
4. Step 4: Simplify right side
   12,347x = 311,293,092.25
5. Step 5: Solve for x
   x = 311,293,092.25/12,347
6. Step 6: Final answer
   x = 25,212.04