Finding the Third Proportional to 25,674.50 and 34,342

Step by Step Solution

1. Step 1: Write the proportion equation
   25,674.50 : 34,342 = 34,342 : x
2. Step 2: Convert to fraction form
   25,674.50/34,342 = 34,342/x
3. Step 3: Cross multiply
   25,674.50x = 34,342 × 34,342
4. Step 4: Simplify right side
   25,674.50x = 1,179,372,964
5. Step 5: Solve for x
   x = 1,179,372,964/25,674.50
6. Step 6: Final answer
   x = 45,935.58