Finding the Third Proportional to 13,684 and 17,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,684 : 17,971.50 = 17,971.50 : x
2. Step 2: Convert to fraction form
   13,684/17,971.50 = 17,971.50/x
3. Step 3: Cross multiply
   13,684x = 17,971.50 × 17,971.50
4. Step 4: Simplify right side
   13,684x = 322,974,812.25
5. Step 5: Solve for x
   x = 322,974,812.25/13,684
6. Step 6: Final answer
   x = 23,602.37