Finding the Third Proportional to 35,793 and 78,666

Step by Step Solution

1. Step 1: Write the proportion equation
   35,793 : 78,666 = 78,666 : x
2. Step 2: Convert to fraction form
   35,793/78,666 = 78,666/x
3. Step 3: Cross multiply
   35,793x = 78,666 × 78,666
4. Step 4: Simplify right side
   35,793x = 6,188,339,556
5. Step 5: Solve for x
   x = 6,188,339,556/35,793
6. Step 6: Final answer
   x = 172,892.45