Finding the Third Proportional to 46,404 and 72,380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   46,404 : 72,380.25 = 72,380.25 : x
2. Step 2: Convert to fraction form
   46,404/72,380.25 = 72,380.25/x
3. Step 3: Cross multiply
   46,404x = 72,380.25 × 72,380.25
4. Step 4: Simplify right side
   46,404x = 5,238,900,590.06
5. Step 5: Solve for x
   x = 5,238,900,590.06/46,404
6. Step 6: Final answer
   x = 112,897.61