Finding the Third Proportional to 38,282 and 56,328

Step by Step Solution

1. Step 1: Write the proportion equation
   38,282 : 56,328 = 56,328 : x
2. Step 2: Convert to fraction form
   38,282/56,328 = 56,328/x
3. Step 3: Cross multiply
   38,282x = 56,328 × 56,328
4. Step 4: Simplify right side
   38,282x = 3,172,843,584
5. Step 5: Solve for x
   x = 3,172,843,584/38,282
6. Step 6: Final answer
   x = 82,880.82