Finding the Third Proportional to 33,636 and 47,140

Step by Step Solution

1. Step 1: Write the proportion equation
   33,636 : 47,140 = 47,140 : x
2. Step 2: Convert to fraction form
   33,636/47,140 = 47,140/x
3. Step 3: Cross multiply
   33,636x = 47,140 × 47,140
4. Step 4: Simplify right side
   33,636x = 2,222,179,600
5. Step 5: Solve for x
   x = 2,222,179,600/33,636
6. Step 6: Final answer
   x = 66,065.51