Finding the Third Proportional to 14,194 and 30,788

Step by Step Solution

1. Step 1: Write the proportion equation
   14,194 : 30,788 = 30,788 : x
2. Step 2: Convert to fraction form
   14,194/30,788 = 30,788/x
3. Step 3: Cross multiply
   14,194x = 30,788 × 30,788
4. Step 4: Simplify right side
   14,194x = 947,900,944
5. Step 5: Solve for x
   x = 947,900,944/14,194
6. Step 6: Final answer
   x = 66,781.81