Finding the Third Proportional to 25,581 and 55,454

Step by Step Solution

1. Step 1: Write the proportion equation
   25,581 : 55,454 = 55,454 : x
2. Step 2: Convert to fraction form
   25,581/55,454 = 55,454/x
3. Step 3: Cross multiply
   25,581x = 55,454 × 55,454
4. Step 4: Simplify right side
   25,581x = 3,075,146,116
5. Step 5: Solve for x
   x = 3,075,146,116/25,581
6. Step 6: Final answer
   x = 120,212.12