Finding the Third Proportional to 22,835 and 35,830

Step by Step Solution

1. Step 1: Write the proportion equation
   22,835 : 35,830 = 35,830 : x
2. Step 2: Convert to fraction form
   22,835/35,830 = 35,830/x
3. Step 3: Cross multiply
   22,835x = 35,830 × 35,830
4. Step 4: Simplify right side
   22,835x = 1,283,788,900
5. Step 5: Solve for x
   x = 1,283,788,900/22,835
6. Step 6: Final answer
   x = 56,220.23