Finding the Third Proportional to 5,869.50 and 7,619.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,869.50 : 7,619.63 = 7,619.63 : x
2. Step 2: Convert to fraction form
   5,869.50/7,619.63 = 7,619.63/x
3. Step 3: Cross multiply
   5,869.50x = 7,619.63 × 7,619.63
4. Step 4: Simplify right side
   5,869.50x = 58,058,685.14
5. Step 5: Solve for x
   x = 58,058,685.14/5,869.50
6. Step 6: Final answer
   x = 9,891.59