Finding the Third Proportional to 20,106 and 29,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 29,146.50 = 29,146.50 : x
2. Step 2: Convert to fraction form
   20,106/29,146.50 = 29,146.50/x
3. Step 3: Cross multiply
   20,106x = 29,146.50 × 29,146.50
4. Step 4: Simplify right side
   20,106x = 849,518,462.25
5. Step 5: Solve for x
   x = 849,518,462.25/20,106
6. Step 6: Final answer
   x = 42,251.99