Finding the Third Proportional to 16,029 and 37,105

Step by Step Solution

1. Step 1: Write the proportion equation
   16,029 : 37,105 = 37,105 : x
2. Step 2: Convert to fraction form
   16,029/37,105 = 37,105/x
3. Step 3: Cross multiply
   16,029x = 37,105 × 37,105
4. Step 4: Simplify right side
   16,029x = 1,376,781,025
5. Step 5: Solve for x
   x = 1,376,781,025/16,029
6. Step 6: Final answer
   x = 85,893.13