Finding the Third Proportional to 1,777.75 and 4,151.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777.75 : 4,151.88 = 4,151.88 : x
2. Step 2: Convert to fraction form
   1,777.75/4,151.88 = 4,151.88/x
3. Step 3: Cross multiply
   1,777.75x = 4,151.88 × 4,151.88
4. Step 4: Simplify right side
   1,777.75x = 17,238,066.02
5. Step 5: Solve for x
   x = 17,238,066.02/1,777.75
6. Step 6: Final answer
   x = 9,696.56