Finding the Third Proportional to 35,460 and 53,928

Step by Step Solution

1. Step 1: Write the proportion equation
   35,460 : 53,928 = 53,928 : x
2. Step 2: Convert to fraction form
   35,460/53,928 = 53,928/x
3. Step 3: Cross multiply
   35,460x = 53,928 × 53,928
4. Step 4: Simplify right side
   35,460x = 2,908,229,184
5. Step 5: Solve for x
   x = 2,908,229,184/35,460
6. Step 6: Final answer
   x = 82,014.36