Finding the Third Proportional to 42,323 and 65,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,323 : 65,744.50 = 65,744.50 : x
2. Step 2: Convert to fraction form
   42,323/65,744.50 = 65,744.50/x
3. Step 3: Cross multiply
   42,323x = 65,744.50 × 65,744.50
4. Step 4: Simplify right side
   42,323x = 4,322,339,280.25
5. Step 5: Solve for x
   x = 4,322,339,280.25/42,323
6. Step 6: Final answer
   x = 102,127.43