Finding the Third Proportional to 9,828 and 14,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 14,602.50 = 14,602.50 : x
2. Step 2: Convert to fraction form
   9,828/14,602.50 = 14,602.50/x
3. Step 3: Cross multiply
   9,828x = 14,602.50 × 14,602.50
4. Step 4: Simplify right side
   9,828x = 213,233,006.25
5. Step 5: Solve for x
   x = 213,233,006.25/9,828
6. Step 6: Final answer
   x = 21,696.48