Finding the Third Proportional to 36,456 and 57,113

Step by Step Solution

1. Step 1: Write the proportion equation
   36,456 : 57,113 = 57,113 : x
2. Step 2: Convert to fraction form
   36,456/57,113 = 57,113/x
3. Step 3: Cross multiply
   36,456x = 57,113 × 57,113
4. Step 4: Simplify right side
   36,456x = 3,261,894,769
5. Step 5: Solve for x
   x = 3,261,894,769/36,456
6. Step 6: Final answer
   x = 89,474.84