Finding the Third Proportional to 38,789 and 83,516

Step by Step Solution

1. Step 1: Write the proportion equation
   38,789 : 83,516 = 83,516 : x
2. Step 2: Convert to fraction form
   38,789/83,516 = 83,516/x
3. Step 3: Cross multiply
   38,789x = 83,516 × 83,516
4. Step 4: Simplify right side
   38,789x = 6,974,922,256
5. Step 5: Solve for x
   x = 6,974,922,256/38,789
6. Step 6: Final answer
   x = 179,817.02