Finding the Third Proportional to 39,396 and 83,892

Step by Step Solution

1. Step 1: Write the proportion equation
   39,396 : 83,892 = 83,892 : x
2. Step 2: Convert to fraction form
   39,396/83,892 = 83,892/x
3. Step 3: Cross multiply
   39,396x = 83,892 × 83,892
4. Step 4: Simplify right side
   39,396x = 7,037,867,664
5. Step 5: Solve for x
   x = 7,037,867,664/39,396
6. Step 6: Final answer
   x = 178,644.22