Finding the Third Proportional to 37,282 and 74,536

Step by Step Solution

1. Step 1: Write the proportion equation
   37,282 : 74,536 = 74,536 : x
2. Step 2: Convert to fraction form
   37,282/74,536 = 74,536/x
3. Step 3: Cross multiply
   37,282x = 74,536 × 74,536
4. Step 4: Simplify right side
   37,282x = 5,555,615,296
5. Step 5: Solve for x
   x = 5,555,615,296/37,282
6. Step 6: Final answer
   x = 149,016.02