Finding the Third Proportional to 65,024 and 102,990

Step by Step Solution

1. Step 1: Write the proportion equation
   65,024 : 102,990 = 102,990 : x
2. Step 2: Convert to fraction form
   65,024/102,990 = 102,990/x
3. Step 3: Cross multiply
   65,024x = 102,990 × 102,990
4. Step 4: Simplify right side
   65,024x = 10,606,940,100
5. Step 5: Solve for x
   x = 10,606,940,100/65,024
6. Step 6: Final answer
   x = 163,123.46