Finding the Third Proportional to 25,396 and 59,350

Step by Step Solution

1. Step 1: Write the proportion equation
   25,396 : 59,350 = 59,350 : x
2. Step 2: Convert to fraction form
   25,396/59,350 = 59,350/x
3. Step 3: Cross multiply
   25,396x = 59,350 × 59,350
4. Step 4: Simplify right side
   25,396x = 3,522,422,500
5. Step 5: Solve for x
   x = 3,522,422,500/25,396
6. Step 6: Final answer
   x = 138,699.89