Finding the Third Proportional to 4,777.50 and 10,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,777.50 : 10,475.25 = 10,475.25 : x
2. Step 2: Convert to fraction form
   4,777.50/10,475.25 = 10,475.25/x
3. Step 3: Cross multiply
   4,777.50x = 10,475.25 × 10,475.25
4. Step 4: Simplify right side
   4,777.50x = 109,730,862.56
5. Step 5: Solve for x
   x = 109,730,862.56/4,777.50
6. Step 6: Final answer
   x = 22,968.26