Finding the Third Proportional to 13,086 and 21,674.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,086 : 21,674.25 = 21,674.25 : x
2. Step 2: Convert to fraction form
   13,086/21,674.25 = 21,674.25/x
3. Step 3: Cross multiply
   13,086x = 21,674.25 × 21,674.25
4. Step 4: Simplify right side
   13,086x = 469,773,113.06
5. Step 5: Solve for x
   x = 469,773,113.06/13,086
6. Step 6: Final answer
   x = 35,898.91