Finding the Third Proportional to 37,214 and 53,053

Step by Step Solution

1. Step 1: Write the proportion equation
   37,214 : 53,053 = 53,053 : x
2. Step 2: Convert to fraction form
   37,214/53,053 = 53,053/x
3. Step 3: Cross multiply
   37,214x = 53,053 × 53,053
4. Step 4: Simplify right side
   37,214x = 2,814,620,809
5. Step 5: Solve for x
   x = 2,814,620,809/37,214
6. Step 6: Final answer
   x = 75,633.39