Finding the Third Proportional to 74.61 and 164.41

Step by Step Solution

1. Step 1: Write the proportion equation
   74.61 : 164.41 = 164.41 : x
2. Step 2: Convert to fraction form
   74.61/164.41 = 164.41/x
3. Step 3: Cross multiply
   74.61x = 164.41 × 164.41
4. Step 4: Simplify right side
   74.61x = 27,031.50
5. Step 5: Solve for x
   x = 27,031.50/74.61
6. Step 6: Final answer
   x = 362.29