Finding the Third Proportional to 37,876 and 56,814

Step by Step Solution

1. Step 1: Write the proportion equation
   37,876 : 56,814 = 56,814 : x
2. Step 2: Convert to fraction form
   37,876/56,814 = 56,814/x
3. Step 3: Cross multiply
   37,876x = 56,814 × 56,814
4. Step 4: Simplify right side
   37,876x = 3,227,830,596
5. Step 5: Solve for x
   x = 3,227,830,596/37,876
6. Step 6: Final answer
   x = 85,221