Finding the Third Proportional to 40,902 and 57,585

Step by Step Solution

1. Step 1: Write the proportion equation
   40,902 : 57,585 = 57,585 : x
2. Step 2: Convert to fraction form
   40,902/57,585 = 57,585/x
3. Step 3: Cross multiply
   40,902x = 57,585 × 57,585
4. Step 4: Simplify right side
   40,902x = 3,316,032,225
5. Step 5: Solve for x
   x = 3,316,032,225/40,902
6. Step 6: Final answer
   x = 81,072.62