Finding the Third Proportional to 42,562 and 86,340

Step by Step Solution

1. Step 1: Write the proportion equation
   42,562 : 86,340 = 86,340 : x
2. Step 2: Convert to fraction form
   42,562/86,340 = 86,340/x
3. Step 3: Cross multiply
   42,562x = 86,340 × 86,340
4. Step 4: Simplify right side
   42,562x = 7,454,595,600
5. Step 5: Solve for x
   x = 7,454,595,600/42,562
6. Step 6: Final answer
   x = 175,146.74