Finding the Third Proportional to 22,364 and 34,768

Step by Step Solution

1. Step 1: Write the proportion equation
   22,364 : 34,768 = 34,768 : x
2. Step 2: Convert to fraction form
   22,364/34,768 = 34,768/x
3. Step 3: Cross multiply
   22,364x = 34,768 × 34,768
4. Step 4: Simplify right side
   22,364x = 1,208,813,824
5. Step 5: Solve for x
   x = 1,208,813,824/22,364
6. Step 6: Final answer
   x = 54,051.77