Finding the Third Proportional to 25,580 and 34,560

Step by Step Solution

1. Step 1: Write the proportion equation
   25,580 : 34,560 = 34,560 : x
2. Step 2: Convert to fraction form
   25,580/34,560 = 34,560/x
3. Step 3: Cross multiply
   25,580x = 34,560 × 34,560
4. Step 4: Simplify right side
   25,580x = 1,194,393,600
5. Step 5: Solve for x
   x = 1,194,393,600/25,580
6. Step 6: Final answer
   x = 46,692.48