Finding the Third Proportional to 9,092.25 and 17,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,092.25 : 17,779.50 = 17,779.50 : x
2. Step 2: Convert to fraction form
   9,092.25/17,779.50 = 17,779.50/x
3. Step 3: Cross multiply
   9,092.25x = 17,779.50 × 17,779.50
4. Step 4: Simplify right side
   9,092.25x = 316,110,620.25
5. Step 5: Solve for x
   x = 316,110,620.25/9,092.25
6. Step 6: Final answer
   x = 34,767.04