Finding the Third Proportional to 36,985.50 and 80,882.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,985.50 : 80,882.25 = 80,882.25 : x
2. Step 2: Convert to fraction form
   36,985.50/80,882.25 = 80,882.25/x
3. Step 3: Cross multiply
   36,985.50x = 80,882.25 × 80,882.25
4. Step 4: Simplify right side
   36,985.50x = 6,541,938,365.06
5. Step 5: Solve for x
   x = 6,541,938,365.06/36,985.50
6. Step 6: Final answer
   x = 176,878.46