Finding the Third Proportional to 61.31 and 165.84

Step by Step Solution

1. Step 1: Write the proportion equation
   61.31 : 165.84 = 165.84 : x
2. Step 2: Convert to fraction form
   61.31/165.84 = 165.84/x
3. Step 3: Cross multiply
   61.31x = 165.84 × 165.84
4. Step 4: Simplify right side
   61.31x = 27,504.15
5. Step 5: Solve for x
   x = 27,504.15/61.31
6. Step 6: Final answer
   x = 448.59