Finding the Third Proportional to 32,343 and 49,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,343 : 49,378.50 = 49,378.50 : x
2. Step 2: Convert to fraction form
   32,343/49,378.50 = 49,378.50/x
3. Step 3: Cross multiply
   32,343x = 49,378.50 × 49,378.50
4. Step 4: Simplify right side
   32,343x = 2,438,236,262.25
5. Step 5: Solve for x
   x = 2,438,236,262.25/32,343
6. Step 6: Final answer
   x = 75,386.83