Finding the Third Proportional to 10,680 and 23,438.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 23,438.25 = 23,438.25 : x
2. Step 2: Convert to fraction form
   10,680/23,438.25 = 23,438.25/x
3. Step 3: Cross multiply
   10,680x = 23,438.25 × 23,438.25
4. Step 4: Simplify right side
   10,680x = 549,351,563.06
5. Step 5: Solve for x
   x = 549,351,563.06/10,680
6. Step 6: Final answer
   x = 51,437.41