Finding the Third Proportional to 31,885.50 and 42,855

Step by Step Solution

1. Step 1: Write the proportion equation
   31,885.50 : 42,855 = 42,855 : x
2. Step 2: Convert to fraction form
   31,885.50/42,855 = 42,855/x
3. Step 3: Cross multiply
   31,885.50x = 42,855 × 42,855
4. Step 4: Simplify right side
   31,885.50x = 1,836,551,025
5. Step 5: Solve for x
   x = 1,836,551,025/31,885.50
6. Step 6: Final answer
   x = 57,598.31