Finding the Third Proportional to 42,409 and 57,594

Step by Step Solution

1. Step 1: Write the proportion equation
   42,409 : 57,594 = 57,594 : x
2. Step 2: Convert to fraction form
   42,409/57,594 = 57,594/x
3. Step 3: Cross multiply
   42,409x = 57,594 × 57,594
4. Step 4: Simplify right side
   42,409x = 3,317,068,836
5. Step 5: Solve for x
   x = 3,317,068,836/42,409
6. Step 6: Final answer
   x = 78,216.15