Finding the Third Proportional to 5,094.50 and 10,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,094.50 : 10,506.25 = 10,506.25 : x
2. Step 2: Convert to fraction form
   5,094.50/10,506.25 = 10,506.25/x
3. Step 3: Cross multiply
   5,094.50x = 10,506.25 × 10,506.25
4. Step 4: Simplify right side
   5,094.50x = 110,381,289.06
5. Step 5: Solve for x
   x = 110,381,289.06/5,094.50
6. Step 6: Final answer
   x = 21,666.76