Finding the Third Proportional to 5,997 and 10,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,997 : 10,102.50 = 10,102.50 : x
2. Step 2: Convert to fraction form
   5,997/10,102.50 = 10,102.50/x
3. Step 3: Cross multiply
   5,997x = 10,102.50 × 10,102.50
4. Step 4: Simplify right side
   5,997x = 102,060,506.25
5. Step 5: Solve for x
   x = 102,060,506.25/5,997
6. Step 6: Final answer
   x = 17,018.59