Finding the Third Proportional to 25,347 and 55,461

Step by Step Solution

1. Step 1: Write the proportion equation
   25,347 : 55,461 = 55,461 : x
2. Step 2: Convert to fraction form
   25,347/55,461 = 55,461/x
3. Step 3: Cross multiply
   25,347x = 55,461 × 55,461
4. Step 4: Simplify right side
   25,347x = 3,075,922,521
5. Step 5: Solve for x
   x = 3,075,922,521/25,347
6. Step 6: Final answer
   x = 121,352.53