Finding the Third Proportional to 3,970.69 and 4,307.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,970.69 : 4,307.06 = 4,307.06 : x
2. Step 2: Convert to fraction form
   3,970.69/4,307.06 = 4,307.06/x
3. Step 3: Cross multiply
   3,970.69x = 4,307.06 × 4,307.06
4. Step 4: Simplify right side
   3,970.69x = 18,550,787.38
5. Step 5: Solve for x
   x = 18,550,787.38/3,970.69
6. Step 6: Final answer
   x = 4,671.93