Finding the Third Proportional to 25,606 and 59,317

Step by Step Solution

1. Step 1: Write the proportion equation
   25,606 : 59,317 = 59,317 : x
2. Step 2: Convert to fraction form
   25,606/59,317 = 59,317/x
3. Step 3: Cross multiply
   25,606x = 59,317 × 59,317
4. Step 4: Simplify right side
   25,606x = 3,518,506,489
5. Step 5: Solve for x
   x = 3,518,506,489/25,606
6. Step 6: Final answer
   x = 137,409.45