Finding the Third Proportional to 14,584.50 and 31,808.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584.50 : 31,808.75 = 31,808.75 : x
2. Step 2: Convert to fraction form
   14,584.50/31,808.75 = 31,808.75/x
3. Step 3: Cross multiply
   14,584.50x = 31,808.75 × 31,808.75
4. Step 4: Simplify right side
   14,584.50x = 1,011,796,576.56
5. Step 5: Solve for x
   x = 1,011,796,576.56/14,584.50
6. Step 6: Final answer
   x = 69,374.79