Finding the Third Proportional to 10,682.50 and 23,376.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682.50 : 23,376.25 = 23,376.25 : x
2. Step 2: Convert to fraction form
   10,682.50/23,376.25 = 23,376.25/x
3. Step 3: Cross multiply
   10,682.50x = 23,376.25 × 23,376.25
4. Step 4: Simplify right side
   10,682.50x = 546,449,064.06
5. Step 5: Solve for x
   x = 546,449,064.06/10,682.50
6. Step 6: Final answer
   x = 51,153.67