Finding the Third Proportional to 31,546 and 69,236

Step by Step Solution

1. Step 1: Write the proportion equation
   31,546 : 69,236 = 69,236 : x
2. Step 2: Convert to fraction form
   31,546/69,236 = 69,236/x
3. Step 3: Cross multiply
   31,546x = 69,236 × 69,236
4. Step 4: Simplify right side
   31,546x = 4,793,623,696
5. Step 5: Solve for x
   x = 4,793,623,696/31,546
6. Step 6: Final answer
   x = 151,956.63