Finding the Third Proportional to 31,851 and 46,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,851 : 46,743.75 = 46,743.75 : x
2. Step 2: Convert to fraction form
   31,851/46,743.75 = 46,743.75/x
3. Step 3: Cross multiply
   31,851x = 46,743.75 × 46,743.75
4. Step 4: Simplify right side
   31,851x = 2,184,978,164.06
5. Step 5: Solve for x
   x = 2,184,978,164.06/31,851
6. Step 6: Final answer
   x = 68,599.99