Finding the Third Proportional to 37,112 and 57,948

Step by Step Solution

1. Step 1: Write the proportion equation
   37,112 : 57,948 = 57,948 : x
2. Step 2: Convert to fraction form
   37,112/57,948 = 57,948/x
3. Step 3: Cross multiply
   37,112x = 57,948 × 57,948
4. Step 4: Simplify right side
   37,112x = 3,357,970,704
5. Step 5: Solve for x
   x = 3,357,970,704/37,112
6. Step 6: Final answer
   x = 90,482.07