Finding the Third Proportional to 38,389.50 and 80,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,389.50 : 80,980.50 = 80,980.50 : x
2. Step 2: Convert to fraction form
   38,389.50/80,980.50 = 80,980.50/x
3. Step 3: Cross multiply
   38,389.50x = 80,980.50 × 80,980.50
4. Step 4: Simplify right side
   38,389.50x = 6,557,841,380.25
5. Step 5: Solve for x
   x = 6,557,841,380.25/38,389.50
6. Step 6: Final answer
   x = 170,823.83