Finding the Third Proportional to 22,759 and 34,832

Step by Step Solution

1. Step 1: Write the proportion equation
   22,759 : 34,832 = 34,832 : x
2. Step 2: Convert to fraction form
   22,759/34,832 = 34,832/x
3. Step 3: Cross multiply
   22,759x = 34,832 × 34,832
4. Step 4: Simplify right side
   22,759x = 1,213,268,224
5. Step 5: Solve for x
   x = 1,213,268,224/22,759
6. Step 6: Final answer
   x = 53,309.38