Finding the Third Proportional to 38,223 and 83,790

Step by Step Solution

1. Step 1: Write the proportion equation
   38,223 : 83,790 = 83,790 : x
2. Step 2: Convert to fraction form
   38,223/83,790 = 83,790/x
3. Step 3: Cross multiply
   38,223x = 83,790 × 83,790
4. Step 4: Simplify right side
   38,223x = 7,020,764,100
5. Step 5: Solve for x
   x = 7,020,764,100/38,223
6. Step 6: Final answer
   x = 183,679.04