Finding the Third Proportional to 37,686 and 59,661

Step by Step Solution

1. Step 1: Write the proportion equation
   37,686 : 59,661 = 59,661 : x
2. Step 2: Convert to fraction form
   37,686/59,661 = 59,661/x
3. Step 3: Cross multiply
   37,686x = 59,661 × 59,661
4. Step 4: Simplify right side
   37,686x = 3,559,434,921
5. Step 5: Solve for x
   x = 3,559,434,921/37,686
6. Step 6: Final answer
   x = 94,449.79