Finding the Third Proportional to 16,038 and 37,466

Step by Step Solution

1. Step 1: Write the proportion equation
   16,038 : 37,466 = 37,466 : x
2. Step 2: Convert to fraction form
   16,038/37,466 = 37,466/x
3. Step 3: Cross multiply
   16,038x = 37,466 × 37,466
4. Step 4: Simplify right side
   16,038x = 1,403,701,156
5. Step 5: Solve for x
   x = 1,403,701,156/16,038
6. Step 6: Final answer
   x = 87,523.45