Finding the Third Proportional to 9,472.50 and 16,071.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,472.50 : 16,071.75 = 16,071.75 : x
2. Step 2: Convert to fraction form
   9,472.50/16,071.75 = 16,071.75/x
3. Step 3: Cross multiply
   9,472.50x = 16,071.75 × 16,071.75
4. Step 4: Simplify right side
   9,472.50x = 258,301,148.06
5. Step 5: Solve for x
   x = 258,301,148.06/9,472.50
6. Step 6: Final answer
   x = 27,268.53