Finding the Third Proportional to 14,647.50 and 31,235.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,647.50 : 31,235.63 = 31,235.63 : x
2. Step 2: Convert to fraction form
   14,647.50/31,235.63 = 31,235.63/x
3. Step 3: Cross multiply
   14,647.50x = 31,235.63 × 31,235.63
4. Step 4: Simplify right side
   14,647.50x = 975,664,269.14
5. Step 5: Solve for x
   x = 975,664,269.14/14,647.50
6. Step 6: Final answer
   x = 66,609.61