Finding the Third Proportional to 35,636 and 54,294

Step by Step Solution

1. Step 1: Write the proportion equation
   35,636 : 54,294 = 54,294 : x
2. Step 2: Convert to fraction form
   35,636/54,294 = 54,294/x
3. Step 3: Cross multiply
   35,636x = 54,294 × 54,294
4. Step 4: Simplify right side
   35,636x = 2,947,838,436
5. Step 5: Solve for x
   x = 2,947,838,436/35,636
6. Step 6: Final answer
   x = 82,720.80