Finding the Third Proportional to 13,784.50 and 31,444

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.50 : 31,444 = 31,444 : x
2. Step 2: Convert to fraction form
   13,784.50/31,444 = 31,444/x
3. Step 3: Cross multiply
   13,784.50x = 31,444 × 31,444
4. Step 4: Simplify right side
   13,784.50x = 988,725,136
5. Step 5: Solve for x
   x = 988,725,136/13,784.50
6. Step 6: Final answer
   x = 71,727.31