Finding the Third Proportional to 9,735 and 21,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735 : 21,304.50 = 21,304.50 : x
2. Step 2: Convert to fraction form
   9,735/21,304.50 = 21,304.50/x
3. Step 3: Cross multiply
   9,735x = 21,304.50 × 21,304.50
4. Step 4: Simplify right side
   9,735x = 453,881,720.25
5. Step 5: Solve for x
   x = 453,881,720.25/9,735
6. Step 6: Final answer
   x = 46,623.70