Finding the Third Proportional to 30,882 and 42,536

Step by Step Solution

1. Step 1: Write the proportion equation
   30,882 : 42,536 = 42,536 : x
2. Step 2: Convert to fraction form
   30,882/42,536 = 42,536/x
3. Step 3: Cross multiply
   30,882x = 42,536 × 42,536
4. Step 4: Simplify right side
   30,882x = 1,809,311,296
5. Step 5: Solve for x
   x = 1,809,311,296/30,882
6. Step 6: Final answer
   x = 58,587.89