Finding the Third Proportional to 31,964 and 69,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,964 : 69,548.50 = 69,548.50 : x
2. Step 2: Convert to fraction form
   31,964/69,548.50 = 69,548.50/x
3. Step 3: Cross multiply
   31,964x = 69,548.50 × 69,548.50
4. Step 4: Simplify right side
   31,964x = 4,836,993,852.25
5. Step 5: Solve for x
   x = 4,836,993,852.25/31,964
6. Step 6: Final answer
   x = 151,326.30