Finding the Third Proportional to 29,892 and 46,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,892 : 46,255.50 = 46,255.50 : x
2. Step 2: Convert to fraction form
   29,892/46,255.50 = 46,255.50/x
3. Step 3: Cross multiply
   29,892x = 46,255.50 × 46,255.50
4. Step 4: Simplify right side
   29,892x = 2,139,571,280.25
5. Step 5: Solve for x
   x = 2,139,571,280.25/29,892
6. Step 6: Final answer
   x = 71,576.72