Finding the Third Proportional to 42,294 and 59,131

Step by Step Solution

1. Step 1: Write the proportion equation
   42,294 : 59,131 = 59,131 : x
2. Step 2: Convert to fraction form
   42,294/59,131 = 59,131/x
3. Step 3: Cross multiply
   42,294x = 59,131 × 59,131
4. Step 4: Simplify right side
   42,294x = 3,496,475,161
5. Step 5: Solve for x
   x = 3,496,475,161/42,294
6. Step 6: Final answer
   x = 82,670.71