Finding the Third Proportional to 25,848 and 55,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,848 : 55,822.50 = 55,822.50 : x
2. Step 2: Convert to fraction form
   25,848/55,822.50 = 55,822.50/x
3. Step 3: Cross multiply
   25,848x = 55,822.50 × 55,822.50
4. Step 4: Simplify right side
   25,848x = 3,116,151,506.25
5. Step 5: Solve for x
   x = 3,116,151,506.25/25,848
6. Step 6: Final answer
   x = 120,556.77