Finding the Third Proportional to 25,553.75 and 35,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,553.75 : 35,808.50 = 35,808.50 : x
2. Step 2: Convert to fraction form
   25,553.75/35,808.50 = 35,808.50/x
3. Step 3: Cross multiply
   25,553.75x = 35,808.50 × 35,808.50
4. Step 4: Simplify right side
   25,553.75x = 1,282,248,672.25
5. Step 5: Solve for x
   x = 1,282,248,672.25/25,553.75
6. Step 6: Final answer
   x = 50,178.49