Finding the Third Proportional to 13,086 and 21,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,086 : 21,829.50 = 21,829.50 : x
2. Step 2: Convert to fraction form
   13,086/21,829.50 = 21,829.50/x
3. Step 3: Cross multiply
   13,086x = 21,829.50 × 21,829.50
4. Step 4: Simplify right side
   13,086x = 476,527,070.25
5. Step 5: Solve for x
   x = 476,527,070.25/13,086
6. Step 6: Final answer
   x = 36,415.03