Finding the Third Proportional to 36,993 and 80,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,993 : 80,890.50 = 80,890.50 : x
2. Step 2: Convert to fraction form
   36,993/80,890.50 = 80,890.50/x
3. Step 3: Cross multiply
   36,993x = 80,890.50 × 80,890.50
4. Step 4: Simplify right side
   36,993x = 6,543,272,990.25
5. Step 5: Solve for x
   x = 6,543,272,990.25/36,993
6. Step 6: Final answer
   x = 176,878.68