Finding the Third Proportional to 21.82 and 59.12

Step by Step Solution

1. Step 1: Write the proportion equation
   21.82 : 59.12 = 59.12 : x
2. Step 2: Convert to fraction form
   21.82/59.12 = 59.12/x
3. Step 3: Cross multiply
   21.82x = 59.12 × 59.12
4. Step 4: Simplify right side
   21.82x = 3,495.08
5. Step 5: Solve for x
   x = 3,495.08/21.82
6. Step 6: Final answer
   x = 160.19