Finding the Third Proportional to 35,049 and 53,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,049 : 53,596.50 = 53,596.50 : x
2. Step 2: Convert to fraction form
   35,049/53,596.50 = 53,596.50/x
3. Step 3: Cross multiply
   35,049x = 53,596.50 × 53,596.50
4. Step 4: Simplify right side
   35,049x = 2,872,584,812.25
5. Step 5: Solve for x
   x = 2,872,584,812.25/35,049
6. Step 6: Final answer
   x = 81,959.11