Finding the Third Proportional to 31,826 and 69,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826 : 69,316 = 69,316 : x
2. Step 2: Convert to fraction form
   31,826/69,316 = 69,316/x
3. Step 3: Cross multiply
   31,826x = 69,316 × 69,316
4. Step 4: Simplify right side
   31,826x = 4,804,707,856
5. Step 5: Solve for x
   x = 4,804,707,856/31,826
6. Step 6: Final answer
   x = 150,968.01