Finding the Third Proportional to 37,024 and 57,346

Step by Step Solution

1. Step 1: Write the proportion equation
   37,024 : 57,346 = 57,346 : x
2. Step 2: Convert to fraction form
   37,024/57,346 = 57,346/x
3. Step 3: Cross multiply
   37,024x = 57,346 × 57,346
4. Step 4: Simplify right side
   37,024x = 3,288,563,716
5. Step 5: Solve for x
   x = 3,288,563,716/37,024
6. Step 6: Final answer
   x = 88,822.49