Finding the Third Proportional to 38,077 and 59,282

Step by Step Solution

1. Step 1: Write the proportion equation
   38,077 : 59,282 = 59,282 : x
2. Step 2: Convert to fraction form
   38,077/59,282 = 59,282/x
3. Step 3: Cross multiply
   38,077x = 59,282 × 59,282
4. Step 4: Simplify right side
   38,077x = 3,514,355,524
5. Step 5: Solve for x
   x = 3,514,355,524/38,077
6. Step 6: Final answer
   x = 92,296.02