Finding the Third Proportional to 33,926 and 78,605

Step by Step Solution

1. Step 1: Write the proportion equation
   33,926 : 78,605 = 78,605 : x
2. Step 2: Convert to fraction form
   33,926/78,605 = 78,605/x
3. Step 3: Cross multiply
   33,926x = 78,605 × 78,605
4. Step 4: Simplify right side
   33,926x = 6,178,746,025
5. Step 5: Solve for x
   x = 6,178,746,025/33,926
6. Step 6: Final answer
   x = 182,124.21