Finding the Third Proportional to 19,314 and 25,842.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,314 : 25,842.38 = 25,842.38 : x
2. Step 2: Convert to fraction form
   19,314/25,842.38 = 25,842.38/x
3. Step 3: Cross multiply
   19,314x = 25,842.38 × 25,842.38
4. Step 4: Simplify right side
   19,314x = 667,828,345.64
5. Step 5: Solve for x
   x = 667,828,345.64/19,314
6. Step 6: Final answer
   x = 34,577.42