Finding the Third Proportional to 37,736 and 52,788

Step by Step Solution

1. Step 1: Write the proportion equation
   37,736 : 52,788 = 52,788 : x
2. Step 2: Convert to fraction form
   37,736/52,788 = 52,788/x
3. Step 3: Cross multiply
   37,736x = 52,788 × 52,788
4. Step 4: Simplify right side
   37,736x = 2,786,572,944
5. Step 5: Solve for x
   x = 2,786,572,944/37,736
6. Step 6: Final answer
   x = 73,843.89