Finding the Third Proportional to 25,602 and 59,307

Step by Step Solution

1. Step 1: Write the proportion equation
   25,602 : 59,307 = 59,307 : x
2. Step 2: Convert to fraction form
   25,602/59,307 = 59,307/x
3. Step 3: Cross multiply
   25,602x = 59,307 × 59,307
4. Step 4: Simplify right side
   25,602x = 3,517,320,249
5. Step 5: Solve for x
   x = 3,517,320,249/25,602
6. Step 6: Final answer
   x = 137,384.59