Finding the Third Proportional to 42,724 and 91,768

Step by Step Solution

1. Step 1: Write the proportion equation
   42,724 : 91,768 = 91,768 : x
2. Step 2: Convert to fraction form
   42,724/91,768 = 91,768/x
3. Step 3: Cross multiply
   42,724x = 91,768 × 91,768
4. Step 4: Simplify right side
   42,724x = 8,421,365,824
5. Step 5: Solve for x
   x = 8,421,365,824/42,724
6. Step 6: Final answer
   x = 197,110.89