Finding the Third Proportional to 66.23 and 100.83

Step by Step Solution

1. Step 1: Write the proportion equation
   66.23 : 100.83 = 100.83 : x
2. Step 2: Convert to fraction form
   66.23/100.83 = 100.83/x
3. Step 3: Cross multiply
   66.23x = 100.83 × 100.83
4. Step 4: Simplify right side
   66.23x = 10,166.31
5. Step 5: Solve for x
   x = 10,166.31/66.23
6. Step 6: Final answer
   x = 153.49