Finding the Third Proportional to 49.50 and 62.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49.50 : 62.25 = 62.25 : x
2. Step 2: Convert to fraction form
   49.50/62.25 = 62.25/x
3. Step 3: Cross multiply
   49.50x = 62.25 × 62.25
4. Step 4: Simplify right side
   49.50x = 3,875.06
5. Step 5: Solve for x
   x = 3,875.06/49.50
6. Step 6: Final answer
   x = 78.28