Finding the Third Proportional to 17,832.38 and 38,194.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,832.38 : 38,194.88 = 38,194.88 : x
2. Step 2: Convert to fraction form
   17,832.38/38,194.88 = 38,194.88/x
3. Step 3: Cross multiply
   17,832.38x = 38,194.88 × 38,194.88
4. Step 4: Simplify right side
   17,832.38x = 1,458,848,476.27
5. Step 5: Solve for x
   x = 1,458,848,476.27/17,832.38
6. Step 6: Final answer
   x = 81,808.98