Finding the Third Proportional to 1,056.38 and 2,264.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.38 : 2,264.63 = 2,264.63 : x
2. Step 2: Convert to fraction form
   1,056.38/2,264.63 = 2,264.63/x
3. Step 3: Cross multiply
   1,056.38x = 2,264.63 × 2,264.63
4. Step 4: Simplify right side
   1,056.38x = 5,128,526.39
5. Step 5: Solve for x
   x = 5,128,526.39/1,056.38
6. Step 6: Final answer
   x = 4,854.84