Finding the Third Proportional to 31,969 and 69,769

Step by Step Solution

1. Step 1: Write the proportion equation
   31,969 : 69,769 = 69,769 : x
2. Step 2: Convert to fraction form
   31,969/69,769 = 69,769/x
3. Step 3: Cross multiply
   31,969x = 69,769 × 69,769
4. Step 4: Simplify right side
   31,969x = 4,867,713,361
5. Step 5: Solve for x
   x = 4,867,713,361/31,969
6. Step 6: Final answer
   x = 152,263.55