Finding the Third Proportional to 19,733 and 41,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,733 : 41,684.50 = 41,684.50 : x
2. Step 2: Convert to fraction form
   19,733/41,684.50 = 41,684.50/x
3. Step 3: Cross multiply
   19,733x = 41,684.50 × 41,684.50
4. Step 4: Simplify right side
   19,733x = 1,737,597,540.25
5. Step 5: Solve for x
   x = 1,737,597,540.25/19,733
6. Step 6: Final answer
   x = 88,055.42