Finding the Third Proportional to 37,786 and 52,826

Step by Step Solution

1. Step 1: Write the proportion equation
   37,786 : 52,826 = 52,826 : x
2. Step 2: Convert to fraction form
   37,786/52,826 = 52,826/x
3. Step 3: Cross multiply
   37,786x = 52,826 × 52,826
4. Step 4: Simplify right side
   37,786x = 2,790,586,276
5. Step 5: Solve for x
   x = 2,790,586,276/37,786
6. Step 6: Final answer
   x = 73,852.39