Finding the Third Proportional to 17,205 and 37,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,205 : 37,687.50 = 37,687.50 : x
2. Step 2: Convert to fraction form
   17,205/37,687.50 = 37,687.50/x
3. Step 3: Cross multiply
   17,205x = 37,687.50 × 37,687.50
4. Step 4: Simplify right side
   17,205x = 1,420,347,656.25
5. Step 5: Solve for x
   x = 1,420,347,656.25/17,205
6. Step 6: Final answer
   x = 82,554.35