Finding the Third Proportional to 23,102 and 35,139

Step by Step Solution

1. Step 1: Write the proportion equation
   23,102 : 35,139 = 35,139 : x
2. Step 2: Convert to fraction form
   23,102/35,139 = 35,139/x
3. Step 3: Cross multiply
   23,102x = 35,139 × 35,139
4. Step 4: Simplify right side
   23,102x = 1,234,749,321
5. Step 5: Solve for x
   x = 1,234,749,321/23,102
6. Step 6: Final answer
   x = 53,447.72