Finding the Third Proportional to 23,680 and 51,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 51,747.50 = 51,747.50 : x
2. Step 2: Convert to fraction form
   23,680/51,747.50 = 51,747.50/x
3. Step 3: Cross multiply
   23,680x = 51,747.50 × 51,747.50
4. Step 4: Simplify right side
   23,680x = 2,677,803,756.25
5. Step 5: Solve for x
   x = 2,677,803,756.25/23,680
6. Step 6: Final answer
   x = 113,082.93