Finding the Third Proportional to 13,180 and 31,113

Step by Step Solution

1. Step 1: Write the proportion equation
   13,180 : 31,113 = 31,113 : x
2. Step 2: Convert to fraction form
   13,180/31,113 = 31,113/x
3. Step 3: Cross multiply
   13,180x = 31,113 × 31,113
4. Step 4: Simplify right side
   13,180x = 968,018,769
5. Step 5: Solve for x
   x = 968,018,769/13,180
6. Step 6: Final answer
   x = 73,446.04