Finding the Third Proportional to 49.50 and 65.06

Step by Step Solution

1. Step 1: Write the proportion equation
   49.50 : 65.06 = 65.06 : x
2. Step 2: Convert to fraction form
   49.50/65.06 = 65.06/x
3. Step 3: Cross multiply
   49.50x = 65.06 × 65.06
4. Step 4: Simplify right side
   49.50x = 4,233.13
5. Step 5: Solve for x
   x = 4,233.13/49.50
6. Step 6: Final answer
   x = 85.52