Finding the Third Proportional to 22,496 and 35,747

Step by Step Solution

1. Step 1: Write the proportion equation
   22,496 : 35,747 = 35,747 : x
2. Step 2: Convert to fraction form
   22,496/35,747 = 35,747/x
3. Step 3: Cross multiply
   22,496x = 35,747 × 35,747
4. Step 4: Simplify right side
   22,496x = 1,277,848,009
5. Step 5: Solve for x
   x = 1,277,848,009/22,496
6. Step 6: Final answer
   x = 56,803.34