Finding the Third Proportional to 1,113 and 1,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113 : 1,577.25 = 1,577.25 : x
2. Step 2: Convert to fraction form
   1,113/1,577.25 = 1,577.25/x
3. Step 3: Cross multiply
   1,113x = 1,577.25 × 1,577.25
4. Step 4: Simplify right side
   1,113x = 2,487,717.56
5. Step 5: Solve for x
   x = 2,487,717.56/1,113
6. Step 6: Final answer
   x = 2,235.15