Finding the Third Proportional to 25,820 and 56,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,820 : 56,553.50 = 56,553.50 : x
2. Step 2: Convert to fraction form
   25,820/56,553.50 = 56,553.50/x
3. Step 3: Cross multiply
   25,820x = 56,553.50 × 56,553.50
4. Step 4: Simplify right side
   25,820x = 3,198,298,362.25
5. Step 5: Solve for x
   x = 3,198,298,362.25/25,820
6. Step 6: Final answer
   x = 123,869.03