Finding the Third Proportional to 25,884 and 55,457

Step by Step Solution

1. Step 1: Write the proportion equation
   25,884 : 55,457 = 55,457 : x
2. Step 2: Convert to fraction form
   25,884/55,457 = 55,457/x
3. Step 3: Cross multiply
   25,884x = 55,457 × 55,457
4. Step 4: Simplify right side
   25,884x = 3,075,478,849
5. Step 5: Solve for x
   x = 3,075,478,849/25,884
6. Step 6: Final answer
   x = 118,817.76