Finding the Third Proportional to 17,901 and 37,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,901 : 37,603.50 = 37,603.50 : x
2. Step 2: Convert to fraction form
   17,901/37,603.50 = 37,603.50/x
3. Step 3: Cross multiply
   17,901x = 37,603.50 × 37,603.50
4. Step 4: Simplify right side
   17,901x = 1,414,023,212.25
5. Step 5: Solve for x
   x = 1,414,023,212.25/17,901
6. Step 6: Final answer
   x = 78,991.30