Finding the Third Proportional to 34,743 and 52,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,743 : 52,816.50 = 52,816.50 : x
2. Step 2: Convert to fraction form
   34,743/52,816.50 = 52,816.50/x
3. Step 3: Cross multiply
   34,743x = 52,816.50 × 52,816.50
4. Step 4: Simplify right side
   34,743x = 2,789,582,672.25
5. Step 5: Solve for x
   x = 2,789,582,672.25/34,743
6. Step 6: Final answer
   x = 80,291.93