Finding the Third Proportional to 37,344 and 59,161

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 59,161 = 59,161 : x
2. Step 2: Convert to fraction form
   37,344/59,161 = 59,161/x
3. Step 3: Cross multiply
   37,344x = 59,161 × 59,161
4. Step 4: Simplify right side
   37,344x = 3,500,023,921
5. Step 5: Solve for x
   x = 3,500,023,921/37,344
6. Step 6: Final answer
   x = 93,723.86