Finding the Third Proportional to 9,589.50 and 23,914.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.50 : 23,914.13 = 23,914.13 : x
2. Step 2: Convert to fraction form
   9,589.50/23,914.13 = 23,914.13/x
3. Step 3: Cross multiply
   9,589.50x = 23,914.13 × 23,914.13
4. Step 4: Simplify right side
   9,589.50x = 571,885,374.52
5. Step 5: Solve for x
   x = 571,885,374.52/9,589.50
6. Step 6: Final answer
   x = 59,636.62