Finding the Third Proportional to 23,478 and 35,798

Step by Step Solution

1. Step 1: Write the proportion equation
   23,478 : 35,798 = 35,798 : x
2. Step 2: Convert to fraction form
   23,478/35,798 = 35,798/x
3. Step 3: Cross multiply
   23,478x = 35,798 × 35,798
4. Step 4: Simplify right side
   23,478x = 1,281,496,804
5. Step 5: Solve for x
   x = 1,281,496,804/23,478
6. Step 6: Final answer
   x = 54,582.88