Finding the Third Proportional to 31,030 and 65,097

Step by Step Solution

1. Step 1: Write the proportion equation
   31,030 : 65,097 = 65,097 : x
2. Step 2: Convert to fraction form
   31,030/65,097 = 65,097/x
3. Step 3: Cross multiply
   31,030x = 65,097 × 65,097
4. Step 4: Simplify right side
   31,030x = 4,237,619,409
5. Step 5: Solve for x
   x = 4,237,619,409/31,030
6. Step 6: Final answer
   x = 136,565.24