Finding the Third Proportional to 37,760 and 56,733

Step by Step Solution

1. Step 1: Write the proportion equation
   37,760 : 56,733 = 56,733 : x
2. Step 2: Convert to fraction form
   37,760/56,733 = 56,733/x
3. Step 3: Cross multiply
   37,760x = 56,733 × 56,733
4. Step 4: Simplify right side
   37,760x = 3,218,633,289
5. Step 5: Solve for x
   x = 3,218,633,289/37,760
6. Step 6: Final answer
   x = 85,239.23