Finding the Third Proportional to 17,779.22 and 38,194.31

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.22 : 38,194.31 = 38,194.31 : x
2. Step 2: Convert to fraction form
   17,779.22/38,194.31 = 38,194.31/x
3. Step 3: Cross multiply
   17,779.22x = 38,194.31 × 38,194.31
4. Step 4: Simplify right side
   17,779.22x = 1,458,805,507.35
5. Step 5: Solve for x
   x = 1,458,805,507.35/17,779.22
6. Step 6: Final answer
   x = 82,051.16