Finding the Third Proportional to 42,821 and 94,821

Step by Step Solution

1. Step 1: Write the proportion equation
   42,821 : 94,821 = 94,821 : x
2. Step 2: Convert to fraction form
   42,821/94,821 = 94,821/x
3. Step 3: Cross multiply
   42,821x = 94,821 × 94,821
4. Step 4: Simplify right side
   42,821x = 8,991,022,041
5. Step 5: Solve for x
   x = 8,991,022,041/42,821
6. Step 6: Final answer
   x = 209,967.59