Finding the Third Proportional to 9,583.31 and 14,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,583.31 : 14,678.72 = 14,678.72 : x
2. Step 2: Convert to fraction form
   9,583.31/14,678.72 = 14,678.72/x
3. Step 3: Cross multiply
   9,583.31x = 14,678.72 × 14,678.72
4. Step 4: Simplify right side
   9,583.31x = 215,464,784.14
5. Step 5: Solve for x
   x = 215,464,784.14/9,583.31
6. Step 6: Final answer
   x = 22,483.33