Finding the Third Proportional to 23,470 and 52,123

Step by Step Solution

1. Step 1: Write the proportion equation
   23,470 : 52,123 = 52,123 : x
2. Step 2: Convert to fraction form
   23,470/52,123 = 52,123/x
3. Step 3: Cross multiply
   23,470x = 52,123 × 52,123
4. Step 4: Simplify right side
   23,470x = 2,716,807,129
5. Step 5: Solve for x
   x = 2,716,807,129/23,470
6. Step 6: Final answer
   x = 115,756.59