Finding the Third Proportional to 17,822.25 and 38,031.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822.25 : 38,031.75 = 38,031.75 : x
2. Step 2: Convert to fraction form
   17,822.25/38,031.75 = 38,031.75/x
3. Step 3: Cross multiply
   17,822.25x = 38,031.75 × 38,031.75
4. Step 4: Simplify right side
   17,822.25x = 1,446,414,008.06
5. Step 5: Solve for x
   x = 1,446,414,008.06/17,822.25
6. Step 6: Final answer
   x = 81,157.77