Finding the Third Proportional to 25,426 and 59,054

Step by Step Solution

1. Step 1: Write the proportion equation
   25,426 : 59,054 = 59,054 : x
2. Step 2: Convert to fraction form
   25,426/59,054 = 59,054/x
3. Step 3: Cross multiply
   25,426x = 59,054 × 59,054
4. Step 4: Simplify right side
   25,426x = 3,487,374,916
5. Step 5: Solve for x
   x = 3,487,374,916/25,426
6. Step 6: Final answer
   x = 137,157.83