Finding the Third Proportional to 25,564.50 and 55,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,564.50 : 55,777.50 = 55,777.50 : x
2. Step 2: Convert to fraction form
   25,564.50/55,777.50 = 55,777.50/x
3. Step 3: Cross multiply
   25,564.50x = 55,777.50 × 55,777.50
4. Step 4: Simplify right side
   25,564.50x = 3,111,129,506.25
5. Step 5: Solve for x
   x = 3,111,129,506.25/25,564.50
6. Step 6: Final answer
   x = 121,697.26