Finding the Third Proportional to 25,791 and 34,797

Step by Step Solution

1. Step 1: Write the proportion equation
   25,791 : 34,797 = 34,797 : x
2. Step 2: Convert to fraction form
   25,791/34,797 = 34,797/x
3. Step 3: Cross multiply
   25,791x = 34,797 × 34,797
4. Step 4: Simplify right side
   25,791x = 1,210,831,209
5. Step 5: Solve for x
   x = 1,210,831,209/25,791
6. Step 6: Final answer
   x = 46,947.82