Finding the Third Proportional to 42.06 and 64.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.06 : 64.75 = 64.75 : x
2. Step 2: Convert to fraction form
   42.06/64.75 = 64.75/x
3. Step 3: Cross multiply
   42.06x = 64.75 × 64.75
4. Step 4: Simplify right side
   42.06x = 4,192.56
5. Step 5: Solve for x
   x = 4,192.56/42.06
6. Step 6: Final answer
   x = 99.67