Finding the Third Proportional to 31,852 and 67,501

Step by Step Solution

1. Step 1: Write the proportion equation
   31,852 : 67,501 = 67,501 : x
2. Step 2: Convert to fraction form
   31,852/67,501 = 67,501/x
3. Step 3: Cross multiply
   31,852x = 67,501 × 67,501
4. Step 4: Simplify right side
   31,852x = 4,556,385,001
5. Step 5: Solve for x
   x = 4,556,385,001/31,852
6. Step 6: Final answer
   x = 143,048.63