Finding the Third Proportional to 23,130 and 35,126

Step by Step Solution

1. Step 1: Write the proportion equation
   23,130 : 35,126 = 35,126 : x
2. Step 2: Convert to fraction form
   23,130/35,126 = 35,126/x
3. Step 3: Cross multiply
   23,130x = 35,126 × 35,126
4. Step 4: Simplify right side
   23,130x = 1,233,835,876
5. Step 5: Solve for x
   x = 1,233,835,876/23,130
6. Step 6: Final answer
   x = 53,343.53