Finding the Third Proportional to 39,914 and 86,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,914 : 86,935.50 = 86,935.50 : x
2. Step 2: Convert to fraction form
   39,914/86,935.50 = 86,935.50/x
3. Step 3: Cross multiply
   39,914x = 86,935.50 × 86,935.50
4. Step 4: Simplify right side
   39,914x = 7,557,781,160.25
5. Step 5: Solve for x
   x = 7,557,781,160.25/39,914
6. Step 6: Final answer
   x = 189,351.64