Finding the Third Proportional to 37,216 and 52,057

Step by Step Solution

1. Step 1: Write the proportion equation
   37,216 : 52,057 = 52,057 : x
2. Step 2: Convert to fraction form
   37,216/52,057 = 52,057/x
3. Step 3: Cross multiply
   37,216x = 52,057 × 52,057
4. Step 4: Simplify right side
   37,216x = 2,709,931,249
5. Step 5: Solve for x
   x = 2,709,931,249/37,216
6. Step 6: Final answer
   x = 72,816.30