Finding the Third Proportional to 9,546 and 22,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546 : 22,570.50 = 22,570.50 : x
2. Step 2: Convert to fraction form
   9,546/22,570.50 = 22,570.50/x
3. Step 3: Cross multiply
   9,546x = 22,570.50 × 22,570.50
4. Step 4: Simplify right side
   9,546x = 509,427,470.25
5. Step 5: Solve for x
   x = 509,427,470.25/9,546
6. Step 6: Final answer
   x = 53,365.54