Finding the Third Proportional to 1,054.50 and 1,575.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.50 : 1,575.94 = 1,575.94 : x
2. Step 2: Convert to fraction form
   1,054.50/1,575.94 = 1,575.94/x
3. Step 3: Cross multiply
   1,054.50x = 1,575.94 × 1,575.94
4. Step 4: Simplify right side
   1,054.50x = 2,483,579.00
5. Step 5: Solve for x
   x = 2,483,579.00/1,054.50
6. Step 6: Final answer
   x = 2,355.22