Finding the Third Proportional to 33,645 and 47,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,645 : 47,146.50 = 47,146.50 : x
2. Step 2: Convert to fraction form
   33,645/47,146.50 = 47,146.50/x
3. Step 3: Cross multiply
   33,645x = 47,146.50 × 47,146.50
4. Step 4: Simplify right side
   33,645x = 2,222,792,462.25
5. Step 5: Solve for x
   x = 2,222,792,462.25/33,645
6. Step 6: Final answer
   x = 66,066.06