Finding the Third Proportional to 38,118 and 57,819

Step by Step Solution

1. Step 1: Write the proportion equation
   38,118 : 57,819 = 57,819 : x
2. Step 2: Convert to fraction form
   38,118/57,819 = 57,819/x
3. Step 3: Cross multiply
   38,118x = 57,819 × 57,819
4. Step 4: Simplify right side
   38,118x = 3,343,036,761
5. Step 5: Solve for x
   x = 3,343,036,761/38,118
6. Step 6: Final answer
   x = 87,702.31