Finding the Third Proportional to 25,509 and 55,535

Step by Step Solution

1. Step 1: Write the proportion equation
   25,509 : 55,535 = 55,535 : x
2. Step 2: Convert to fraction form
   25,509/55,535 = 55,535/x
3. Step 3: Cross multiply
   25,509x = 55,535 × 55,535
4. Step 4: Simplify right side
   25,509x = 3,084,136,225
5. Step 5: Solve for x
   x = 3,084,136,225/25,509
6. Step 6: Final answer
   x = 120,903.85