Finding the Third Proportional to 49,845 and 71,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,845 : 71,095.50 = 71,095.50 : x
2. Step 2: Convert to fraction form
   49,845/71,095.50 = 71,095.50/x
3. Step 3: Cross multiply
   49,845x = 71,095.50 × 71,095.50
4. Step 4: Simplify right side
   49,845x = 5,054,570,120.25
5. Step 5: Solve for x
   x = 5,054,570,120.25/49,845
6. Step 6: Final answer
   x = 101,405.76