Finding the Third Proportional to 43,838 and 95,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,838 : 95,964.50 = 95,964.50 : x
2. Step 2: Convert to fraction form
   43,838/95,964.50 = 95,964.50/x
3. Step 3: Cross multiply
   43,838x = 95,964.50 × 95,964.50
4. Step 4: Simplify right side
   43,838x = 9,209,185,260.25
5. Step 5: Solve for x
   x = 9,209,185,260.25/43,838
6. Step 6: Final answer
   x = 210,073.12