Finding the Third Proportional to 32,863 and 71,262

Step by Step Solution

1. Step 1: Write the proportion equation
   32,863 : 71,262 = 71,262 : x
2. Step 2: Convert to fraction form
   32,863/71,262 = 71,262/x
3. Step 3: Cross multiply
   32,863x = 71,262 × 71,262
4. Step 4: Simplify right side
   32,863x = 5,078,272,644
5. Step 5: Solve for x
   x = 5,078,272,644/32,863
6. Step 6: Final answer
   x = 154,528.58