Finding the Third Proportional to 33,691 and 52,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,691 : 52,693.50 = 52,693.50 : x
2. Step 2: Convert to fraction form
   33,691/52,693.50 = 52,693.50/x
3. Step 3: Cross multiply
   33,691x = 52,693.50 × 52,693.50
4. Step 4: Simplify right side
   33,691x = 2,776,604,942.25
5. Step 5: Solve for x
   x = 2,776,604,942.25/33,691
6. Step 6: Final answer
   x = 82,413.85