Finding the Third Proportional to 37,949 and 57,046

Step by Step Solution

1. Step 1: Write the proportion equation
   37,949 : 57,046 = 57,046 : x
2. Step 2: Convert to fraction form
   37,949/57,046 = 57,046/x
3. Step 3: Cross multiply
   37,949x = 57,046 × 57,046
4. Step 4: Simplify right side
   37,949x = 3,254,246,116
5. Step 5: Solve for x
   x = 3,254,246,116/37,949
6. Step 6: Final answer
   x = 85,753.15