Finding the Third Proportional to 37,802 and 54,111

Step by Step Solution

1. Step 1: Write the proportion equation
   37,802 : 54,111 = 54,111 : x
2. Step 2: Convert to fraction form
   37,802/54,111 = 54,111/x
3. Step 3: Cross multiply
   37,802x = 54,111 × 54,111
4. Step 4: Simplify right side
   37,802x = 2,928,000,321
5. Step 5: Solve for x
   x = 2,928,000,321/37,802
6. Step 6: Final answer
   x = 77,456.23