Finding the Third Proportional to 25,857 and 43,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,857 : 43,969.50 = 43,969.50 : x
2. Step 2: Convert to fraction form
   25,857/43,969.50 = 43,969.50/x
3. Step 3: Cross multiply
   25,857x = 43,969.50 × 43,969.50
4. Step 4: Simplify right side
   25,857x = 1,933,316,930.25
5. Step 5: Solve for x
   x = 1,933,316,930.25/25,857
6. Step 6: Final answer
   x = 74,769.58