Finding the Third Proportional to 17,730 and 37,282

Step by Step Solution

1. Step 1: Write the proportion equation
   17,730 : 37,282 = 37,282 : x
2. Step 2: Convert to fraction form
   17,730/37,282 = 37,282/x
3. Step 3: Cross multiply
   17,730x = 37,282 × 37,282
4. Step 4: Simplify right side
   17,730x = 1,389,947,524
5. Step 5: Solve for x
   x = 1,389,947,524/17,730
6. Step 6: Final answer
   x = 78,395.24