Finding the Third Proportional to 13,259.25 and 20,427.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,259.25 : 20,427.75 = 20,427.75 : x
2. Step 2: Convert to fraction form
   13,259.25/20,427.75 = 20,427.75/x
3. Step 3: Cross multiply
   13,259.25x = 20,427.75 × 20,427.75
4. Step 4: Simplify right side
   13,259.25x = 417,292,970.06
5. Step 5: Solve for x
   x = 417,292,970.06/13,259.25
6. Step 6: Final answer
   x = 31,471.84