Finding the Third Proportional to 38,210 and 83,782

Step by Step Solution

1. Step 1: Write the proportion equation
   38,210 : 83,782 = 83,782 : x
2. Step 2: Convert to fraction form
   38,210/83,782 = 83,782/x
3. Step 3: Cross multiply
   38,210x = 83,782 × 83,782
4. Step 4: Simplify right side
   38,210x = 7,019,423,524
5. Step 5: Solve for x
   x = 7,019,423,524/38,210
6. Step 6: Final answer
   x = 183,706.45