Finding the Third Proportional to 37,509 and 54,819

Step by Step Solution

1. Step 1: Write the proportion equation
   37,509 : 54,819 = 54,819 : x
2. Step 2: Convert to fraction form
   37,509/54,819 = 54,819/x
3. Step 3: Cross multiply
   37,509x = 54,819 × 54,819
4. Step 4: Simplify right side
   37,509x = 3,005,122,761
5. Step 5: Solve for x
   x = 3,005,122,761/37,509
6. Step 6: Final answer
   x = 80,117.38