Finding the Third Proportional to 37,360 and 57,846

Step by Step Solution

1. Step 1: Write the proportion equation
   37,360 : 57,846 = 57,846 : x
2. Step 2: Convert to fraction form
   37,360/57,846 = 57,846/x
3. Step 3: Cross multiply
   37,360x = 57,846 × 57,846
4. Step 4: Simplify right side
   37,360x = 3,346,159,716
5. Step 5: Solve for x
   x = 3,346,159,716/37,360
6. Step 6: Final answer
   x = 89,565.30