Finding the Third Proportional to 39,837 and 86,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,837 : 86,698.50 = 86,698.50 : x
2. Step 2: Convert to fraction form
   39,837/86,698.50 = 86,698.50/x
3. Step 3: Cross multiply
   39,837x = 86,698.50 × 86,698.50
4. Step 4: Simplify right side
   39,837x = 7,516,629,902.25
5. Step 5: Solve for x
   x = 7,516,629,902.25/39,837
6. Step 6: Final answer
   x = 188,684.64