Finding the Third Proportional to 42,663.50 and 91,766

Step by Step Solution

1. Step 1: Write the proportion equation
   42,663.50 : 91,766 = 91,766 : x
2. Step 2: Convert to fraction form
   42,663.50/91,766 = 91,766/x
3. Step 3: Cross multiply
   42,663.50x = 91,766 × 91,766
4. Step 4: Simplify right side
   42,663.50x = 8,420,998,756
5. Step 5: Solve for x
   x = 8,420,998,756/42,663.50
6. Step 6: Final answer
   x = 197,381.81