Finding the Third Proportional to 14,533.50 and 31,749

Step by Step Solution

1. Step 1: Write the proportion equation
   14,533.50 : 31,749 = 31,749 : x
2. Step 2: Convert to fraction form
   14,533.50/31,749 = 31,749/x
3. Step 3: Cross multiply
   14,533.50x = 31,749 × 31,749
4. Step 4: Simplify right side
   14,533.50x = 1,007,999,001
5. Step 5: Solve for x
   x = 1,007,999,001/14,533.50
6. Step 6: Final answer
   x = 69,356.93