Finding the Third Proportional to 36,582 and 78,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,582 : 78,622.50 = 78,622.50 : x
2. Step 2: Convert to fraction form
   36,582/78,622.50 = 78,622.50/x
3. Step 3: Cross multiply
   36,582x = 78,622.50 × 78,622.50
4. Step 4: Simplify right side
   36,582x = 6,181,497,506.25
5. Step 5: Solve for x
   x = 6,181,497,506.25/36,582
6. Step 6: Final answer
   x = 168,976.48