Finding the Third Proportional to 37,980 and 55,498

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 55,498 = 55,498 : x
2. Step 2: Convert to fraction form
   37,980/55,498 = 55,498/x
3. Step 3: Cross multiply
   37,980x = 55,498 × 55,498
4. Step 4: Simplify right side
   37,980x = 3,080,028,004
5. Step 5: Solve for x
   x = 3,080,028,004/37,980
6. Step 6: Final answer
   x = 81,096.05