Finding the Third Proportional to 25,628 and 52,532

Step by Step Solution

1. Step 1: Write the proportion equation
   25,628 : 52,532 = 52,532 : x
2. Step 2: Convert to fraction form
   25,628/52,532 = 52,532/x
3. Step 3: Cross multiply
   25,628x = 52,532 × 52,532
4. Step 4: Simplify right side
   25,628x = 2,759,611,024
5. Step 5: Solve for x
   x = 2,759,611,024/25,628
6. Step 6: Final answer
   x = 107,679.53