Finding the Third Proportional to 35.94 and 59.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35.94 : 59.69 = 59.69 : x
2. Step 2: Convert to fraction form
   35.94/59.69 = 59.69/x
3. Step 3: Cross multiply
   35.94x = 59.69 × 59.69
4. Step 4: Simplify right side
   35.94x = 3,562.60
5. Step 5: Solve for x
   x = 3,562.60/35.94
6. Step 6: Final answer
   x = 99.13