Finding the Third Proportional to 42,724 and 91,008

Step by Step Solution

1. Step 1: Write the proportion equation
   42,724 : 91,008 = 91,008 : x
2. Step 2: Convert to fraction form
   42,724/91,008 = 91,008/x
3. Step 3: Cross multiply
   42,724x = 91,008 × 91,008
4. Step 4: Simplify right side
   42,724x = 8,282,456,064
5. Step 5: Solve for x
   x = 8,282,456,064/42,724
6. Step 6: Final answer
   x = 193,859.57