Finding the Third Proportional to 2,176.31 and 4,307.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176.31 : 4,307.06 = 4,307.06 : x
2. Step 2: Convert to fraction form
   2,176.31/4,307.06 = 4,307.06/x
3. Step 3: Cross multiply
   2,176.31x = 4,307.06 × 4,307.06
4. Step 4: Simplify right side
   2,176.31x = 18,550,787.38
5. Step 5: Solve for x
   x = 18,550,787.38/2,176.31
6. Step 6: Final answer
   x = 8,523.95