Finding the Third Proportional to 6,936 and 10,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,936 : 10,159.50 = 10,159.50 : x
2. Step 2: Convert to fraction form
   6,936/10,159.50 = 10,159.50/x
3. Step 3: Cross multiply
   6,936x = 10,159.50 × 10,159.50
4. Step 4: Simplify right side
   6,936x = 103,215,440.25
5. Step 5: Solve for x
   x = 103,215,440.25/6,936
6. Step 6: Final answer
   x = 14,881.12