Finding the Third Proportional to 25,706 and 34,191

Step by Step Solution

1. Step 1: Write the proportion equation
   25,706 : 34,191 = 34,191 : x
2. Step 2: Convert to fraction form
   25,706/34,191 = 34,191/x
3. Step 3: Cross multiply
   25,706x = 34,191 × 34,191
4. Step 4: Simplify right side
   25,706x = 1,169,024,481
5. Step 5: Solve for x
   x = 1,169,024,481/25,706
6. Step 6: Final answer
   x = 45,476.72