Finding the Third Proportional to 7,851.94 and 19,037.53

Step by Step Solution

1. Step 1: Write the proportion equation
   7,851.94 : 19,037.53 = 19,037.53 : x
2. Step 2: Convert to fraction form
   7,851.94/19,037.53 = 19,037.53/x
3. Step 3: Cross multiply
   7,851.94x = 19,037.53 × 19,037.53
4. Step 4: Simplify right side
   7,851.94x = 362,427,596.09
5. Step 5: Solve for x
   x = 362,427,596.09/7,851.94
6. Step 6: Final answer
   x = 46,157.73