Finding the Third Proportional to 2,156.63 and 2,865.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,156.63 : 2,865.38 = 2,865.38 : x
2. Step 2: Convert to fraction form
   2,156.63/2,865.38 = 2,865.38/x
3. Step 3: Cross multiply
   2,156.63x = 2,865.38 × 2,865.38
4. Step 4: Simplify right side
   2,156.63x = 8,210,373.89
5. Step 5: Solve for x
   x = 8,210,373.89/2,156.63
6. Step 6: Final answer
   x = 3,807.05