Finding the Third Proportional to 13,986 and 21,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,986 : 21,829.50 = 21,829.50 : x
2. Step 2: Convert to fraction form
   13,986/21,829.50 = 21,829.50/x
3. Step 3: Cross multiply
   13,986x = 21,829.50 × 21,829.50
4. Step 4: Simplify right side
   13,986x = 476,527,070.25
5. Step 5: Solve for x
   x = 476,527,070.25/13,986
6. Step 6: Final answer
   x = 34,071.72