Finding the Third Proportional to 37,214 and 52,054

Step by Step Solution

1. Step 1: Write the proportion equation
   37,214 : 52,054 = 52,054 : x
2. Step 2: Convert to fraction form
   37,214/52,054 = 52,054/x
3. Step 3: Cross multiply
   37,214x = 52,054 × 52,054
4. Step 4: Simplify right side
   37,214x = 2,709,618,916
5. Step 5: Solve for x
   x = 2,709,618,916/37,214
6. Step 6: Final answer
   x = 72,811.82