Finding the Third Proportional to 36,777 and 58,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,777 : 58,267.50 = 58,267.50 : x
2. Step 2: Convert to fraction form
   36,777/58,267.50 = 58,267.50/x
3. Step 3: Cross multiply
   36,777x = 58,267.50 × 58,267.50
4. Step 4: Simplify right side
   36,777x = 3,395,101,556.25
5. Step 5: Solve for x
   x = 3,395,101,556.25/36,777
6. Step 6: Final answer
   x = 92,315.89