Finding the Third Proportional to 25,507 and 55,532

Step by Step Solution

1. Step 1: Write the proportion equation
   25,507 : 55,532 = 55,532 : x
2. Step 2: Convert to fraction form
   25,507/55,532 = 55,532/x
3. Step 3: Cross multiply
   25,507x = 55,532 × 55,532
4. Step 4: Simplify right side
   25,507x = 3,083,803,024
5. Step 5: Solve for x
   x = 3,083,803,024/25,507
6. Step 6: Final answer
   x = 120,900.26