Finding the Third Proportional to 14,560 and 31,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,560 : 31,197.50 = 31,197.50 : x
2. Step 2: Convert to fraction form
   14,560/31,197.50 = 31,197.50/x
3. Step 3: Cross multiply
   14,560x = 31,197.50 × 31,197.50
4. Step 4: Simplify right side
   14,560x = 973,284,006.25
5. Step 5: Solve for x
   x = 973,284,006.25/14,560
6. Step 6: Final answer
   x = 66,846.43