Finding the Third Proportional to 40,966 and 65,139

Step by Step Solution

1. Step 1: Write the proportion equation
   40,966 : 65,139 = 65,139 : x
2. Step 2: Convert to fraction form
   40,966/65,139 = 65,139/x
3. Step 3: Cross multiply
   40,966x = 65,139 × 65,139
4. Step 4: Simplify right side
   40,966x = 4,243,089,321
5. Step 5: Solve for x
   x = 4,243,089,321/40,966
6. Step 6: Final answer
   x = 103,575.88