Finding the Third Proportional to 10,106 and 14,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 14,645.50 = 14,645.50 : x
2. Step 2: Convert to fraction form
   10,106/14,645.50 = 14,645.50/x
3. Step 3: Cross multiply
   10,106x = 14,645.50 × 14,645.50
4. Step 4: Simplify right side
   10,106x = 214,490,670.25
5. Step 5: Solve for x
   x = 214,490,670.25/10,106
6. Step 6: Final answer
   x = 21,224.09