Finding the Third Proportional to 16,500 and 37,782

Step by Step Solution

1. Step 1: Write the proportion equation
   16,500 : 37,782 = 37,782 : x
2. Step 2: Convert to fraction form
   16,500/37,782 = 37,782/x
3. Step 3: Cross multiply
   16,500x = 37,782 × 37,782
4. Step 4: Simplify right side
   16,500x = 1,427,479,524
5. Step 5: Solve for x
   x = 1,427,479,524/16,500
6. Step 6: Final answer
   x = 86,513.91