Finding the Third Proportional to 35,892 and 50,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892 : 50,295.50 = 50,295.50 : x
2. Step 2: Convert to fraction form
   35,892/50,295.50 = 50,295.50/x
3. Step 3: Cross multiply
   35,892x = 50,295.50 × 50,295.50
4. Step 4: Simplify right side
   35,892x = 2,529,637,320.25
5. Step 5: Solve for x
   x = 2,529,637,320.25/35,892
6. Step 6: Final answer
   x = 70,479.14