Finding the Third Proportional to 38,620 and 83,756

Step by Step Solution

1. Step 1: Write the proportion equation
   38,620 : 83,756 = 83,756 : x
2. Step 2: Convert to fraction form
   38,620/83,756 = 83,756/x
3. Step 3: Cross multiply
   38,620x = 83,756 × 83,756
4. Step 4: Simplify right side
   38,620x = 7,015,067,536
5. Step 5: Solve for x
   x = 7,015,067,536/38,620
6. Step 6: Final answer
   x = 181,643.39