Finding the Third Proportional to 37,306 and 57,850

Step by Step Solution

1. Step 1: Write the proportion equation
   37,306 : 57,850 = 57,850 : x
2. Step 2: Convert to fraction form
   37,306/57,850 = 57,850/x
3. Step 3: Cross multiply
   37,306x = 57,850 × 57,850
4. Step 4: Simplify right side
   37,306x = 3,346,622,500
5. Step 5: Solve for x
   x = 3,346,622,500/37,306
6. Step 6: Final answer
   x = 89,707.35