Finding the Third Proportional to 39,960 and 86,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,960 : 86,152.50 = 86,152.50 : x
2. Step 2: Convert to fraction form
   39,960/86,152.50 = 86,152.50/x
3. Step 3: Cross multiply
   39,960x = 86,152.50 × 86,152.50
4. Step 4: Simplify right side
   39,960x = 7,422,253,256.25
5. Step 5: Solve for x
   x = 7,422,253,256.25/39,960
6. Step 6: Final answer
   x = 185,742.07