Finding the Third Proportional to 13,421.50 and 31,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,421.50 : 31,205.50 = 31,205.50 : x
2. Step 2: Convert to fraction form
   13,421.50/31,205.50 = 31,205.50/x
3. Step 3: Cross multiply
   13,421.50x = 31,205.50 × 31,205.50
4. Step 4: Simplify right side
   13,421.50x = 973,783,230.25
5. Step 5: Solve for x
   x = 973,783,230.25/13,421.50
6. Step 6: Final answer
   x = 72,553.98