Finding the Third Proportional to 14,571 and 31,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,571 : 31,777.50 = 31,777.50 : x
2. Step 2: Convert to fraction form
   14,571/31,777.50 = 31,777.50/x
3. Step 3: Cross multiply
   14,571x = 31,777.50 × 31,777.50
4. Step 4: Simplify right side
   14,571x = 1,009,809,506.25
5. Step 5: Solve for x
   x = 1,009,809,506.25/14,571
6. Step 6: Final answer
   x = 69,302.69