Finding the Third Proportional to 15,374 and 23,123

Step by Step Solution

1. Step 1: Write the proportion equation
   15,374 : 23,123 = 23,123 : x
2. Step 2: Convert to fraction form
   15,374/23,123 = 23,123/x
3. Step 3: Cross multiply
   15,374x = 23,123 × 23,123
4. Step 4: Simplify right side
   15,374x = 534,673,129
5. Step 5: Solve for x
   x = 534,673,129/15,374
6. Step 6: Final answer
   x = 34,777.75