Finding the Third Proportional to 49,600 and 69,372

Step by Step Solution

1. Step 1: Write the proportion equation
   49,600 : 69,372 = 69,372 : x
2. Step 2: Convert to fraction form
   49,600/69,372 = 69,372/x
3. Step 3: Cross multiply
   49,600x = 69,372 × 69,372
4. Step 4: Simplify right side
   49,600x = 4,812,474,384
5. Step 5: Solve for x
   x = 4,812,474,384/49,600
6. Step 6: Final answer
   x = 97,025.69