Finding the Third Proportional to 22,306 and 35,882

Step by Step Solution

1. Step 1: Write the proportion equation
   22,306 : 35,882 = 35,882 : x
2. Step 2: Convert to fraction form
   22,306/35,882 = 35,882/x
3. Step 3: Cross multiply
   22,306x = 35,882 × 35,882
4. Step 4: Simplify right side
   22,306x = 1,287,517,924
5. Step 5: Solve for x
   x = 1,287,517,924/22,306
6. Step 6: Final answer
   x = 57,720.70