Finding the Third Proportional to 38,197 and 83,768

Step by Step Solution

1. Step 1: Write the proportion equation
   38,197 : 83,768 = 83,768 : x
2. Step 2: Convert to fraction form
   38,197/83,768 = 83,768/x
3. Step 3: Cross multiply
   38,197x = 83,768 × 83,768
4. Step 4: Simplify right side
   38,197x = 7,017,077,824
5. Step 5: Solve for x
   x = 7,017,077,824/38,197
6. Step 6: Final answer
   x = 183,707.56