Finding the Third Proportional to 25,614 and 59,274

Step by Step Solution

1. Step 1: Write the proportion equation
   25,614 : 59,274 = 59,274 : x
2. Step 2: Convert to fraction form
   25,614/59,274 = 59,274/x
3. Step 3: Cross multiply
   25,614x = 59,274 × 59,274
4. Step 4: Simplify right side
   25,614x = 3,513,407,076
5. Step 5: Solve for x
   x = 3,513,407,076/25,614
6. Step 6: Final answer
   x = 137,167.45