Finding the Third Proportional to 4,107 and 10,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,107 : 10,123.50 = 10,123.50 : x
2. Step 2: Convert to fraction form
   4,107/10,123.50 = 10,123.50/x
3. Step 3: Cross multiply
   4,107x = 10,123.50 × 10,123.50
4. Step 4: Simplify right side
   4,107x = 102,485,252.25
5. Step 5: Solve for x
   x = 102,485,252.25/4,107
6. Step 6: Final answer
   x = 24,953.80