Finding the Third Proportional to 9,780.75 and 21,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.75 : 21,353.50 = 21,353.50 : x
2. Step 2: Convert to fraction form
   9,780.75/21,353.50 = 21,353.50/x
3. Step 3: Cross multiply
   9,780.75x = 21,353.50 × 21,353.50
4. Step 4: Simplify right side
   9,780.75x = 455,971,962.25
5. Step 5: Solve for x
   x = 455,971,962.25/9,780.75
6. Step 6: Final answer
   x = 46,619.32