Finding the Third Proportional to 17,968.50 and 38,201.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,968.50 : 38,201.63 = 38,201.63 : x
2. Step 2: Convert to fraction form
   17,968.50/38,201.63 = 38,201.63/x
3. Step 3: Cross multiply
   17,968.50x = 38,201.63 × 38,201.63
4. Step 4: Simplify right side
   17,968.50x = 1,459,364,152.64
5. Step 5: Solve for x
   x = 1,459,364,152.64/17,968.50
6. Step 6: Final answer
   x = 81,217.92