Finding the Third Proportional to 38,320 and 83,738

Step by Step Solution

1. Step 1: Write the proportion equation
   38,320 : 83,738 = 83,738 : x
2. Step 2: Convert to fraction form
   38,320/83,738 = 83,738/x
3. Step 3: Cross multiply
   38,320x = 83,738 × 83,738
4. Step 4: Simplify right side
   38,320x = 7,012,052,644
5. Step 5: Solve for x
   x = 7,012,052,644/38,320
6. Step 6: Final answer
   x = 182,986.76