Finding the Third Proportional to 37,346 and 57,830

Step by Step Solution

1. Step 1: Write the proportion equation
   37,346 : 57,830 = 57,830 : x
2. Step 2: Convert to fraction form
   37,346/57,830 = 57,830/x
3. Step 3: Cross multiply
   37,346x = 57,830 × 57,830
4. Step 4: Simplify right side
   37,346x = 3,344,308,900
5. Step 5: Solve for x
   x = 3,344,308,900/37,346
6. Step 6: Final answer
   x = 89,549.32