Finding the Third Proportional to 30,156 and 61,123

Step by Step Solution

1. Step 1: Write the proportion equation
   30,156 : 61,123 = 61,123 : x
2. Step 2: Convert to fraction form
   30,156/61,123 = 61,123/x
3. Step 3: Cross multiply
   30,156x = 61,123 × 61,123
4. Step 4: Simplify right side
   30,156x = 3,736,021,129
5. Step 5: Solve for x
   x = 3,736,021,129/30,156
6. Step 6: Final answer
   x = 123,889.81