Finding the Third Proportional to 8,203 and 17,602

Step by Step Solution

1. Step 1: Write the proportion equation
   8,203 : 17,602 = 17,602 : x
2. Step 2: Convert to fraction form
   8,203/17,602 = 17,602/x
3. Step 3: Cross multiply
   8,203x = 17,602 × 17,602
4. Step 4: Simplify right side
   8,203x = 309,830,404
5. Step 5: Solve for x
   x = 309,830,404/8,203
6. Step 6: Final answer
   x = 37,770.38