Finding the Third Proportional to 36,681 and 55,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,681 : 55,102.50 = 55,102.50 : x
2. Step 2: Convert to fraction form
   36,681/55,102.50 = 55,102.50/x
3. Step 3: Cross multiply
   36,681x = 55,102.50 × 55,102.50
4. Step 4: Simplify right side
   36,681x = 3,036,285,506.25
5. Step 5: Solve for x
   x = 3,036,285,506.25/36,681
6. Step 6: Final answer
   x = 82,775.43