Finding the Third Proportional to 31,760 and 69,664

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 69,664 = 69,664 : x
2. Step 2: Convert to fraction form
   31,760/69,664 = 69,664/x
3. Step 3: Cross multiply
   31,760x = 69,664 × 69,664
4. Step 4: Simplify right side
   31,760x = 4,853,072,896
5. Step 5: Solve for x
   x = 4,853,072,896/31,760
6. Step 6: Final answer
   x = 152,804.56