Finding the Third Proportional to 31,964 and 69,760

Step by Step Solution

1. Step 1: Write the proportion equation
   31,964 : 69,760 = 69,760 : x
2. Step 2: Convert to fraction form
   31,964/69,760 = 69,760/x
3. Step 3: Cross multiply
   31,964x = 69,760 × 69,760
4. Step 4: Simplify right side
   31,964x = 4,866,457,600
5. Step 5: Solve for x
   x = 4,866,457,600/31,964
6. Step 6: Final answer
   x = 152,248.08