Finding the Third Proportional to 25,909.50 and 40,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,909.50 : 40,009.50 = 40,009.50 : x
2. Step 2: Convert to fraction form
   25,909.50/40,009.50 = 40,009.50/x
3. Step 3: Cross multiply
   25,909.50x = 40,009.50 × 40,009.50
4. Step 4: Simplify right side
   25,909.50x = 1,600,760,090.25
5. Step 5: Solve for x
   x = 1,600,760,090.25/25,909.50
6. Step 6: Final answer
   x = 61,782.75