Finding the Third Proportional to 9,702.56 and 21,221.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702.56 : 21,221.25 = 21,221.25 : x
2. Step 2: Convert to fraction form
   9,702.56/21,221.25 = 21,221.25/x
3. Step 3: Cross multiply
   9,702.56x = 21,221.25 × 21,221.25
4. Step 4: Simplify right side
   9,702.56x = 450,341,451.56
5. Step 5: Solve for x
   x = 450,341,451.56/9,702.56
6. Step 6: Final answer
   x = 46,414.69