Finding the Third Proportional to 9,792 and 21,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 21,460.50 = 21,460.50 : x
2. Step 2: Convert to fraction form
   9,792/21,460.50 = 21,460.50/x
3. Step 3: Cross multiply
   9,792x = 21,460.50 × 21,460.50
4. Step 4: Simplify right side
   9,792x = 460,553,060.25
5. Step 5: Solve for x
   x = 460,553,060.25/9,792
6. Step 6: Final answer
   x = 47,033.61