Finding the Third Proportional to 25,600 and 59,302

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 59,302 = 59,302 : x
2. Step 2: Convert to fraction form
   25,600/59,302 = 59,302/x
3. Step 3: Cross multiply
   25,600x = 59,302 × 59,302
4. Step 4: Simplify right side
   25,600x = 3,516,727,204
5. Step 5: Solve for x
   x = 3,516,727,204/25,600
6. Step 6: Final answer
   x = 137,372.16