Finding the Third Proportional to 64,038 and 102,892

Step by Step Solution

1. Step 1: Write the proportion equation
   64,038 : 102,892 = 102,892 : x
2. Step 2: Convert to fraction form
   64,038/102,892 = 102,892/x
3. Step 3: Cross multiply
   64,038x = 102,892 × 102,892
4. Step 4: Simplify right side
   64,038x = 10,586,763,664
5. Step 5: Solve for x
   x = 10,586,763,664/64,038
6. Step 6: Final answer
   x = 165,320.02