Finding the Third Proportional to 37,130 and 57,454

Step by Step Solution

1. Step 1: Write the proportion equation
   37,130 : 57,454 = 57,454 : x
2. Step 2: Convert to fraction form
   37,130/57,454 = 57,454/x
3. Step 3: Cross multiply
   37,130x = 57,454 × 57,454
4. Step 4: Simplify right side
   37,130x = 3,300,962,116
5. Step 5: Solve for x
   x = 3,300,962,116/37,130
6. Step 6: Final answer
   x = 88,902.83