Finding the Third Proportional to 16,026 and 37,428

Step by Step Solution

1. Step 1: Write the proportion equation
   16,026 : 37,428 = 37,428 : x
2. Step 2: Convert to fraction form
   16,026/37,428 = 37,428/x
3. Step 3: Cross multiply
   16,026x = 37,428 × 37,428
4. Step 4: Simplify right side
   16,026x = 1,400,855,184
5. Step 5: Solve for x
   x = 1,400,855,184/16,026
6. Step 6: Final answer
   x = 87,411.41