Finding the Third Proportional to 22,536 and 35,820

Step by Step Solution

1. Step 1: Write the proportion equation
   22,536 : 35,820 = 35,820 : x
2. Step 2: Convert to fraction form
   22,536/35,820 = 35,820/x
3. Step 3: Cross multiply
   22,536x = 35,820 × 35,820
4. Step 4: Simplify right side
   22,536x = 1,283,072,400
5. Step 5: Solve for x
   x = 1,283,072,400/22,536
6. Step 6: Final answer
   x = 56,934.35