Finding the Third Proportional to 37,781 and 56,678

Step by Step Solution

1. Step 1: Write the proportion equation
   37,781 : 56,678 = 56,678 : x
2. Step 2: Convert to fraction form
   37,781/56,678 = 56,678/x
3. Step 3: Cross multiply
   37,781x = 56,678 × 56,678
4. Step 4: Simplify right side
   37,781x = 3,212,395,684
5. Step 5: Solve for x
   x = 3,212,395,684/37,781
6. Step 6: Final answer
   x = 85,026.75