Finding the Third Proportional to 13,896.56 and 21,695.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,896.56 : 21,695.34 = 21,695.34 : x
2. Step 2: Convert to fraction form
   13,896.56/21,695.34 = 21,695.34/x
3. Step 3: Cross multiply
   13,896.56x = 21,695.34 × 21,695.34
4. Step 4: Simplify right side
   13,896.56x = 470,687,940.43
5. Step 5: Solve for x
   x = 470,687,940.43/13,896.56
6. Step 6: Final answer
   x = 33,870.82