Finding the Third Proportional to 25,997 and 40,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,997 : 40,327.50 = 40,327.50 : x
2. Step 2: Convert to fraction form
   25,997/40,327.50 = 40,327.50/x
3. Step 3: Cross multiply
   25,997x = 40,327.50 × 40,327.50
4. Step 4: Simplify right side
   25,997x = 1,626,307,256.25
5. Step 5: Solve for x
   x = 1,626,307,256.25/25,997
6. Step 6: Final answer
   x = 62,557.50