Finding the Third Proportional to 39,768 and 86,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,768 : 86,533.50 = 86,533.50 : x
2. Step 2: Convert to fraction form
   39,768/86,533.50 = 86,533.50/x
3. Step 3: Cross multiply
   39,768x = 86,533.50 × 86,533.50
4. Step 4: Simplify right side
   39,768x = 7,488,046,622.25
5. Step 5: Solve for x
   x = 7,488,046,622.25/39,768
6. Step 6: Final answer
   x = 188,293.27