Finding the Third Proportional to 25,999 and 41,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,999 : 41,869.50 = 41,869.50 : x
2. Step 2: Convert to fraction form
   25,999/41,869.50 = 41,869.50/x
3. Step 3: Cross multiply
   25,999x = 41,869.50 × 41,869.50
4. Step 4: Simplify right side
   25,999x = 1,753,055,030.25
5. Step 5: Solve for x
   x = 1,753,055,030.25/25,999
6. Step 6: Final answer
   x = 67,427.79