Finding the Third Proportional to 9,752.25 and 20,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752.25 : 20,666.50 = 20,666.50 : x
2. Step 2: Convert to fraction form
   9,752.25/20,666.50 = 20,666.50/x
3. Step 3: Cross multiply
   9,752.25x = 20,666.50 × 20,666.50
4. Step 4: Simplify right side
   9,752.25x = 427,104,222.25
5. Step 5: Solve for x
   x = 427,104,222.25/9,752.25
6. Step 6: Final answer
   x = 43,795.45