Finding the Third Proportional to 38,519 and 59,180

Step by Step Solution

1. Step 1: Write the proportion equation
   38,519 : 59,180 = 59,180 : x
2. Step 2: Convert to fraction form
   38,519/59,180 = 59,180/x
3. Step 3: Cross multiply
   38,519x = 59,180 × 59,180
4. Step 4: Simplify right side
   38,519x = 3,502,272,400
5. Step 5: Solve for x
   x = 3,502,272,400/38,519
6. Step 6: Final answer
   x = 90,923.24