Finding the Third Proportional to 18,140 and 37,788

Step by Step Solution

1. Step 1: Write the proportion equation
   18,140 : 37,788 = 37,788 : x
2. Step 2: Convert to fraction form
   18,140/37,788 = 37,788/x
3. Step 3: Cross multiply
   18,140x = 37,788 × 37,788
4. Step 4: Simplify right side
   18,140x = 1,427,932,944
5. Step 5: Solve for x
   x = 1,427,932,944/18,140
6. Step 6: Final answer
   x = 78,717.36