Finding the Third Proportional to 38,684 and 83,650

Step by Step Solution

1. Step 1: Write the proportion equation
   38,684 : 83,650 = 83,650 : x
2. Step 2: Convert to fraction form
   38,684/83,650 = 83,650/x
3. Step 3: Cross multiply
   38,684x = 83,650 × 83,650
4. Step 4: Simplify right side
   38,684x = 6,997,322,500
5. Step 5: Solve for x
   x = 6,997,322,500/38,684
6. Step 6: Final answer
   x = 180,884.15