Finding the Third Proportional to 31,885 and 40,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,885 : 40,428.50 = 40,428.50 : x
2. Step 2: Convert to fraction form
   31,885/40,428.50 = 40,428.50/x
3. Step 3: Cross multiply
   31,885x = 40,428.50 × 40,428.50
4. Step 4: Simplify right side
   31,885x = 1,634,463,612.25
5. Step 5: Solve for x
   x = 1,634,463,612.25/31,885
6. Step 6: Final answer
   x = 51,261.21