Finding the Third Proportional to 65.81 and 90.56

Step by Step Solution

1. Step 1: Write the proportion equation
   65.81 : 90.56 = 90.56 : x
2. Step 2: Convert to fraction form
   65.81/90.56 = 90.56/x
3. Step 3: Cross multiply
   65.81x = 90.56 × 90.56
4. Step 4: Simplify right side
   65.81x = 8,201.57
5. Step 5: Solve for x
   x = 8,201.57/65.81
6. Step 6: Final answer
   x = 124.62