Finding the Third Proportional to 31,615 and 67,877

Step by Step Solution

1. Step 1: Write the proportion equation
   31,615 : 67,877 = 67,877 : x
2. Step 2: Convert to fraction form
   31,615/67,877 = 67,877/x
3. Step 3: Cross multiply
   31,615x = 67,877 × 67,877
4. Step 4: Simplify right side
   31,615x = 4,607,287,129
5. Step 5: Solve for x
   x = 4,607,287,129/31,615
6. Step 6: Final answer
   x = 145,731.05