Finding the Third Proportional to 2,156 and 2,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,156 : 2,475.50 = 2,475.50 : x
2. Step 2: Convert to fraction form
   2,156/2,475.50 = 2,475.50/x
3. Step 3: Cross multiply
   2,156x = 2,475.50 × 2,475.50
4. Step 4: Simplify right side
   2,156x = 6,128,100.25
5. Step 5: Solve for x
   x = 6,128,100.25/2,156
6. Step 6: Final answer
   x = 2,842.35