Finding the Third Proportional to 25,659 and 34,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,659 : 34,141.50 = 34,141.50 : x
2. Step 2: Convert to fraction form
   25,659/34,141.50 = 34,141.50/x
3. Step 3: Cross multiply
   25,659x = 34,141.50 × 34,141.50
4. Step 4: Simplify right side
   25,659x = 1,165,642,022.25
5. Step 5: Solve for x
   x = 1,165,642,022.25/25,659
6. Step 6: Final answer
   x = 45,428.19