Finding the Third Proportional to 10,106 and 15,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 15,447.50 = 15,447.50 : x
2. Step 2: Convert to fraction form
   10,106/15,447.50 = 15,447.50/x
3. Step 3: Cross multiply
   10,106x = 15,447.50 × 15,447.50
4. Step 4: Simplify right side
   10,106x = 238,625,256.25
5. Step 5: Solve for x
   x = 238,625,256.25/10,106
6. Step 6: Final answer
   x = 23,612.24