Finding the Third Proportional to 40,830 and 86,562

Step by Step Solution

1. Step 1: Write the proportion equation
   40,830 : 86,562 = 86,562 : x
2. Step 2: Convert to fraction form
   40,830/86,562 = 86,562/x
3. Step 3: Cross multiply
   40,830x = 86,562 × 86,562
4. Step 4: Simplify right side
   40,830x = 7,492,979,844
5. Step 5: Solve for x
   x = 7,492,979,844/40,830
6. Step 6: Final answer
   x = 183,516.53