Finding the Third Proportional to 13,574.25 and 23,118.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,574.25 : 23,118.75 = 23,118.75 : x
2. Step 2: Convert to fraction form
   13,574.25/23,118.75 = 23,118.75/x
3. Step 3: Cross multiply
   13,574.25x = 23,118.75 × 23,118.75
4. Step 4: Simplify right side
   13,574.25x = 534,476,601.56
5. Step 5: Solve for x
   x = 534,476,601.56/13,574.25
6. Step 6: Final answer
   x = 39,374.30