Finding the Third Proportional to 25,748 and 34,486

Step by Step Solution

1. Step 1: Write the proportion equation
   25,748 : 34,486 = 34,486 : x
2. Step 2: Convert to fraction form
   25,748/34,486 = 34,486/x
3. Step 3: Cross multiply
   25,748x = 34,486 × 34,486
4. Step 4: Simplify right side
   25,748x = 1,189,284,196
5. Step 5: Solve for x
   x = 1,189,284,196/25,748
6. Step 6: Final answer
   x = 46,189.38