Finding the Third Proportional to 40,641.75 and 46,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,641.75 : 46,291.50 = 46,291.50 : x
2. Step 2: Convert to fraction form
   40,641.75/46,291.50 = 46,291.50/x
3. Step 3: Cross multiply
   40,641.75x = 46,291.50 × 46,291.50
4. Step 4: Simplify right side
   40,641.75x = 2,142,902,972.25
5. Step 5: Solve for x
   x = 2,142,902,972.25/40,641.75
6. Step 6: Final answer
   x = 52,726.64