Finding the Third Proportional to 3,914.63 and 5,870.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.63 : 5,870.63 = 5,870.63 : x
2. Step 2: Convert to fraction form
   3,914.63/5,870.63 = 5,870.63/x
3. Step 3: Cross multiply
   3,914.63x = 5,870.63 × 5,870.63
4. Step 4: Simplify right side
   3,914.63x = 34,464,237.89
5. Step 5: Solve for x
   x = 34,464,237.89/3,914.63
6. Step 6: Final answer
   x = 8,803.97