Finding the Third Proportional to 41,742 and 64,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,742 : 64,642.50 = 64,642.50 : x
2. Step 2: Convert to fraction form
   41,742/64,642.50 = 64,642.50/x
3. Step 3: Cross multiply
   41,742x = 64,642.50 × 64,642.50
4. Step 4: Simplify right side
   41,742x = 4,178,652,806.25
5. Step 5: Solve for x
   x = 4,178,652,806.25/41,742
6. Step 6: Final answer
   x = 100,106.67