Finding the Third Proportional to 14,323.50 and 31,097.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,323.50 : 31,097.25 = 31,097.25 : x
2. Step 2: Convert to fraction form
   14,323.50/31,097.25 = 31,097.25/x
3. Step 3: Cross multiply
   14,323.50x = 31,097.25 × 31,097.25
4. Step 4: Simplify right side
   14,323.50x = 967,038,957.56
5. Step 5: Solve for x
   x = 967,038,957.56/14,323.50
6. Step 6: Final answer
   x = 67,514.15