Finding the Third Proportional to 1,056.94 and 1,588.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.94 : 1,588.25 = 1,588.25 : x
2. Step 2: Convert to fraction form
   1,056.94/1,588.25 = 1,588.25/x
3. Step 3: Cross multiply
   1,056.94x = 1,588.25 × 1,588.25
4. Step 4: Simplify right side
   1,056.94x = 2,522,538.06
5. Step 5: Solve for x
   x = 2,522,538.06/1,056.94
6. Step 6: Final answer
   x = 2,386.65