Finding the Third Proportional to 65,910.50 and 102,142

Step by Step Solution

1. Step 1: Write the proportion equation
   65,910.50 : 102,142 = 102,142 : x
2. Step 2: Convert to fraction form
   65,910.50/102,142 = 102,142/x
3. Step 3: Cross multiply
   65,910.50x = 102,142 × 102,142
4. Step 4: Simplify right side
   65,910.50x = 10,432,988,164
5. Step 5: Solve for x
   x = 10,432,988,164/65,910.50
6. Step 6: Final answer
   x = 158,290.23