Finding the Third Proportional to 37,686 and 60,237

Step by Step Solution

1. Step 1: Write the proportion equation
   37,686 : 60,237 = 60,237 : x
2. Step 2: Convert to fraction form
   37,686/60,237 = 60,237/x
3. Step 3: Cross multiply
   37,686x = 60,237 × 60,237
4. Step 4: Simplify right side
   37,686x = 3,628,496,169
5. Step 5: Solve for x
   x = 3,628,496,169/37,686
6. Step 6: Final answer
   x = 96,282.34