Finding the Third Proportional to 25,009 and 41,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,009 : 41,689.50 = 41,689.50 : x
2. Step 2: Convert to fraction form
   25,009/41,689.50 = 41,689.50/x
3. Step 3: Cross multiply
   25,009x = 41,689.50 × 41,689.50
4. Step 4: Simplify right side
   25,009x = 1,738,014,410.25
5. Step 5: Solve for x
   x = 1,738,014,410.25/25,009
6. Step 6: Final answer
   x = 69,495.56