Finding the Third Proportional to 31,935 and 69,465

Step by Step Solution

1. Step 1: Write the proportion equation
   31,935 : 69,465 = 69,465 : x
2. Step 2: Convert to fraction form
   31,935/69,465 = 69,465/x
3. Step 3: Cross multiply
   31,935x = 69,465 × 69,465
4. Step 4: Simplify right side
   31,935x = 4,825,386,225
5. Step 5: Solve for x
   x = 4,825,386,225/31,935
6. Step 6: Final answer
   x = 151,100.24