Finding the Third Proportional to 13,423.50 and 31,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,423.50 : 31,693.50 = 31,693.50 : x
2. Step 2: Convert to fraction form
   13,423.50/31,693.50 = 31,693.50/x
3. Step 3: Cross multiply
   13,423.50x = 31,693.50 × 31,693.50
4. Step 4: Simplify right side
   13,423.50x = 1,004,477,942.25
5. Step 5: Solve for x
   x = 1,004,477,942.25/13,423.50
6. Step 6: Final answer
   x = 74,829.81