Finding the Third Proportional to 38,319 and 83,766

Step by Step Solution

1. Step 1: Write the proportion equation
   38,319 : 83,766 = 83,766 : x
2. Step 2: Convert to fraction form
   38,319/83,766 = 83,766/x
3. Step 3: Cross multiply
   38,319x = 83,766 × 83,766
4. Step 4: Simplify right side
   38,319x = 7,016,742,756
5. Step 5: Solve for x
   x = 7,016,742,756/38,319
6. Step 6: Final answer
   x = 183,113.93