Finding the Third Proportional to 42,406 and 57,590

Step by Step Solution

1. Step 1: Write the proportion equation
   42,406 : 57,590 = 57,590 : x
2. Step 2: Convert to fraction form
   42,406/57,590 = 57,590/x
3. Step 3: Cross multiply
   42,406x = 57,590 × 57,590
4. Step 4: Simplify right side
   42,406x = 3,316,608,100
5. Step 5: Solve for x
   x = 3,316,608,100/42,406
6. Step 6: Final answer
   x = 78,210.82