Finding the Third Proportional to 19,857 and 43,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,857 : 43,648.50 = 43,648.50 : x
2. Step 2: Convert to fraction form
   19,857/43,648.50 = 43,648.50/x
3. Step 3: Cross multiply
   19,857x = 43,648.50 × 43,648.50
4. Step 4: Simplify right side
   19,857x = 1,905,191,552.25
5. Step 5: Solve for x
   x = 1,905,191,552.25/19,857
6. Step 6: Final answer
   x = 95,945.59