Finding the Third Proportional to 13,784 and 21,086

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784 : 21,086 = 21,086 : x
2. Step 2: Convert to fraction form
   13,784/21,086 = 21,086/x
3. Step 3: Cross multiply
   13,784x = 21,086 × 21,086
4. Step 4: Simplify right side
   13,784x = 444,619,396
5. Step 5: Solve for x
   x = 444,619,396/13,784
6. Step 6: Final answer
   x = 32,256.20