Finding the Third Proportional to 84 and 100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84 : 100.50 = 100.50 : x
2. Step 2: Convert to fraction form
   84/100.50 = 100.50/x
3. Step 3: Cross multiply
   84x = 100.50 × 100.50
4. Step 4: Simplify right side
   84x = 10,100.25
5. Step 5: Solve for x
   x = 10,100.25/84
6. Step 6: Final answer
   x = 120.24