Finding the Third Proportional to 5,117.63 and 10,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,117.63 : 10,975.50 = 10,975.50 : x
2. Step 2: Convert to fraction form
   5,117.63/10,975.50 = 10,975.50/x
3. Step 3: Cross multiply
   5,117.63x = 10,975.50 × 10,975.50
4. Step 4: Simplify right side
   5,117.63x = 120,461,600.25
5. Step 5: Solve for x
   x = 120,461,600.25/5,117.63
6. Step 6: Final answer
   x = 23,538.58