Finding the Third Proportional to 37,898 and 56,846

Step by Step Solution

1. Step 1: Write the proportion equation
   37,898 : 56,846 = 56,846 : x
2. Step 2: Convert to fraction form
   37,898/56,846 = 56,846/x
3. Step 3: Cross multiply
   37,898x = 56,846 × 56,846
4. Step 4: Simplify right side
   37,898x = 3,231,467,716
5. Step 5: Solve for x
   x = 3,231,467,716/37,898
6. Step 6: Final answer
   x = 85,267.50