Finding the Third Proportional to 37,739 and 55,510

Step by Step Solution

1. Step 1: Write the proportion equation
   37,739 : 55,510 = 55,510 : x
2. Step 2: Convert to fraction form
   37,739/55,510 = 55,510/x
3. Step 3: Cross multiply
   37,739x = 55,510 × 55,510
4. Step 4: Simplify right side
   37,739x = 3,081,360,100
5. Step 5: Solve for x
   x = 3,081,360,100/37,739
6. Step 6: Final answer
   x = 81,649.22