Finding the Third Proportional to 31,808 and 69,097

Step by Step Solution

1. Step 1: Write the proportion equation
   31,808 : 69,097 = 69,097 : x
2. Step 2: Convert to fraction form
   31,808/69,097 = 69,097/x
3. Step 3: Cross multiply
   31,808x = 69,097 × 69,097
4. Step 4: Simplify right side
   31,808x = 4,774,395,409
5. Step 5: Solve for x
   x = 4,774,395,409/31,808
6. Step 6: Final answer
   x = 150,100.46