Finding the Third Proportional to 19,146 and 25,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,146 : 25,681.50 = 25,681.50 : x
2. Step 2: Convert to fraction form
   19,146/25,681.50 = 25,681.50/x
3. Step 3: Cross multiply
   19,146x = 25,681.50 × 25,681.50
4. Step 4: Simplify right side
   19,146x = 659,539,442.25
5. Step 5: Solve for x
   x = 659,539,442.25/19,146
6. Step 6: Final answer
   x = 34,447.90