Finding the Third Proportional to 15,842 and 23,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,842 : 23,715.50 = 23,715.50 : x
2. Step 2: Convert to fraction form
   15,842/23,715.50 = 23,715.50/x
3. Step 3: Cross multiply
   15,842x = 23,715.50 × 23,715.50
4. Step 4: Simplify right side
   15,842x = 562,424,940.25
5. Step 5: Solve for x
   x = 562,424,940.25/15,842
6. Step 6: Final answer
   x = 35,502.14