Finding the Third Proportional to 23,116 and 37,214

Step by Step Solution

1. Step 1: Write the proportion equation
   23,116 : 37,214 = 37,214 : x
2. Step 2: Convert to fraction form
   23,116/37,214 = 37,214/x
3. Step 3: Cross multiply
   23,116x = 37,214 × 37,214
4. Step 4: Simplify right side
   23,116x = 1,384,881,796
5. Step 5: Solve for x
   x = 1,384,881,796/23,116
6. Step 6: Final answer
   x = 59,910.10