Finding the Third Proportional to 9,732.50 and 21,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.50 : 21,166.50 = 21,166.50 : x
2. Step 2: Convert to fraction form
   9,732.50/21,166.50 = 21,166.50/x
3. Step 3: Cross multiply
   9,732.50x = 21,166.50 × 21,166.50
4. Step 4: Simplify right side
   9,732.50x = 448,020,722.25
5. Step 5: Solve for x
   x = 448,020,722.25/9,732.50
6. Step 6: Final answer
   x = 46,033.47