Finding the Third Proportional to 64,142 and 100,761

Step by Step Solution

1. Step 1: Write the proportion equation
   64,142 : 100,761 = 100,761 : x
2. Step 2: Convert to fraction form
   64,142/100,761 = 100,761/x
3. Step 3: Cross multiply
   64,142x = 100,761 × 100,761
4. Step 4: Simplify right side
   64,142x = 10,152,779,121
5. Step 5: Solve for x
   x = 10,152,779,121/64,142
6. Step 6: Final answer
   x = 158,285.98