Finding the Third Proportional to 9,242 and 19,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,242 : 19,779.50 = 19,779.50 : x
2. Step 2: Convert to fraction form
   9,242/19,779.50 = 19,779.50/x
3. Step 3: Cross multiply
   9,242x = 19,779.50 × 19,779.50
4. Step 4: Simplify right side
   9,242x = 391,228,620.25
5. Step 5: Solve for x
   x = 391,228,620.25/9,242
6. Step 6: Final answer
   x = 42,331.60