Finding the Third Proportional to 1,056 and 1,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056 : 1,409.25 = 1,409.25 : x
2. Step 2: Convert to fraction form
   1,056/1,409.25 = 1,409.25/x
3. Step 3: Cross multiply
   1,056x = 1,409.25 × 1,409.25
4. Step 4: Simplify right side
   1,056x = 1,985,985.56
5. Step 5: Solve for x
   x = 1,985,985.56/1,056
6. Step 6: Final answer
   x = 1,880.67