Finding the Third Proportional to 37,857 and 53,083

Step by Step Solution

1. Step 1: Write the proportion equation
   37,857 : 53,083 = 53,083 : x
2. Step 2: Convert to fraction form
   37,857/53,083 = 53,083/x
3. Step 3: Cross multiply
   37,857x = 53,083 × 53,083
4. Step 4: Simplify right side
   37,857x = 2,817,804,889
5. Step 5: Solve for x
   x = 2,817,804,889/37,857
6. Step 6: Final answer
   x = 74,432.86