Finding the Third Proportional to 25,821 and 59,634

Step by Step Solution

1. Step 1: Write the proportion equation
   25,821 : 59,634 = 59,634 : x
2. Step 2: Convert to fraction form
   25,821/59,634 = 59,634/x
3. Step 3: Cross multiply
   25,821x = 59,634 × 59,634
4. Step 4: Simplify right side
   25,821x = 3,556,213,956
5. Step 5: Solve for x
   x = 3,556,213,956/25,821
6. Step 6: Final answer
   x = 137,725.65