Finding the Third Proportional to 9,429 and 19,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429 : 19,828.50 = 19,828.50 : x
2. Step 2: Convert to fraction form
   9,429/19,828.50 = 19,828.50/x
3. Step 3: Cross multiply
   9,429x = 19,828.50 × 19,828.50
4. Step 4: Simplify right side
   9,429x = 393,169,412.25
5. Step 5: Solve for x
   x = 393,169,412.25/9,429
6. Step 6: Final answer
   x = 41,697.89