Finding the Third Proportional to 13,706 and 21,140

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706 : 21,140 = 21,140 : x
2. Step 2: Convert to fraction form
   13,706/21,140 = 21,140/x
3. Step 3: Cross multiply
   13,706x = 21,140 × 21,140
4. Step 4: Simplify right side
   13,706x = 446,899,600
5. Step 5: Solve for x
   x = 446,899,600/13,706
6. Step 6: Final answer
   x = 32,606.13