Finding the Third Proportional to 38,396 and 83,884

Step by Step Solution

1. Step 1: Write the proportion equation
   38,396 : 83,884 = 83,884 : x
2. Step 2: Convert to fraction form
   38,396/83,884 = 83,884/x
3. Step 3: Cross multiply
   38,396x = 83,884 × 83,884
4. Step 4: Simplify right side
   38,396x = 7,036,525,456
5. Step 5: Solve for x
   x = 7,036,525,456/38,396
6. Step 6: Final answer
   x = 183,261.94