Finding the Third Proportional to 19,188.50 and 25,758.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,188.50 : 25,758.75 = 25,758.75 : x
2. Step 2: Convert to fraction form
   19,188.50/25,758.75 = 25,758.75/x
3. Step 3: Cross multiply
   19,188.50x = 25,758.75 × 25,758.75
4. Step 4: Simplify right side
   19,188.50x = 663,513,201.56
5. Step 5: Solve for x
   x = 663,513,201.56/19,188.50
6. Step 6: Final answer
   x = 34,578.69