Finding the Third Proportional to 46,413 and 72,392

Step by Step Solution

1. Step 1: Write the proportion equation
   46,413 : 72,392 = 72,392 : x
2. Step 2: Convert to fraction form
   46,413/72,392 = 72,392/x
3. Step 3: Cross multiply
   46,413x = 72,392 × 72,392
4. Step 4: Simplify right side
   46,413x = 5,240,601,664
5. Step 5: Solve for x
   x = 5,240,601,664/46,413
6. Step 6: Final answer
   x = 112,912.37