Finding the Third Proportional to 37,176 and 59,859

Step by Step Solution

1. Step 1: Write the proportion equation
   37,176 : 59,859 = 59,859 : x
2. Step 2: Convert to fraction form
   37,176/59,859 = 59,859/x
3. Step 3: Cross multiply
   37,176x = 59,859 × 59,859
4. Step 4: Simplify right side
   37,176x = 3,583,099,881
5. Step 5: Solve for x
   x = 3,583,099,881/37,176
6. Step 6: Final answer
   x = 96,382.07