Finding the Third Proportional to 37,888 and 57,985

Step by Step Solution

1. Step 1: Write the proportion equation
   37,888 : 57,985 = 57,985 : x
2. Step 2: Convert to fraction form
   37,888/57,985 = 57,985/x
3. Step 3: Cross multiply
   37,888x = 57,985 × 57,985
4. Step 4: Simplify right side
   37,888x = 3,362,260,225
5. Step 5: Solve for x
   x = 3,362,260,225/37,888
6. Step 6: Final answer
   x = 88,742.09