Finding the Third Proportional to 38,330 and 83,784

Step by Step Solution

1. Step 1: Write the proportion equation
   38,330 : 83,784 = 83,784 : x
2. Step 2: Convert to fraction form
   38,330/83,784 = 83,784/x
3. Step 3: Cross multiply
   38,330x = 83,784 × 83,784
4. Step 4: Simplify right side
   38,330x = 7,019,758,656
5. Step 5: Solve for x
   x = 7,019,758,656/38,330
6. Step 6: Final answer
   x = 183,140.06