Finding the Third Proportional to 1,056.94 and 1,402.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.94 : 1,402.59 = 1,402.59 : x
2. Step 2: Convert to fraction form
   1,056.94/1,402.59 = 1,402.59/x
3. Step 3: Cross multiply
   1,056.94x = 1,402.59 × 1,402.59
4. Step 4: Simplify right side
   1,056.94x = 1,967,269.23
5. Step 5: Solve for x
   x = 1,967,269.23/1,056.94
6. Step 6: Final answer
   x = 1,861.29