Finding the Third Proportional to 38,396 and 83,904

Step by Step Solution

1. Step 1: Write the proportion equation
   38,396 : 83,904 = 83,904 : x
2. Step 2: Convert to fraction form
   38,396/83,904 = 83,904/x
3. Step 3: Cross multiply
   38,396x = 83,904 × 83,904
4. Step 4: Simplify right side
   38,396x = 7,039,881,216
5. Step 5: Solve for x
   x = 7,039,881,216/38,396
6. Step 6: Final answer
   x = 183,349.34