Finding the Third Proportional to 19.64 and 42.83

Step by Step Solution

1. Step 1: Write the proportion equation
   19.64 : 42.83 = 42.83 : x
2. Step 2: Convert to fraction form
   19.64/42.83 = 42.83/x
3. Step 3: Cross multiply
   19.64x = 42.83 × 42.83
4. Step 4: Simplify right side
   19.64x = 1,834.71
5. Step 5: Solve for x
   x = 1,834.71/19.64
6. Step 6: Final answer
   x = 93.43