Finding the Third Proportional to 37,059.40 and 80,827.16

Step by Step Solution

1. Step 1: Write the proportion equation
   37,059.40 : 80,827.16 = 80,827.16 : x
2. Step 2: Convert to fraction form
   37,059.40/80,827.16 = 80,827.16/x
3. Step 3: Cross multiply
   37,059.40x = 80,827.16 × 80,827.16
4. Step 4: Simplify right side
   37,059.40x = 6,533,030,292.52
5. Step 5: Solve for x
   x = 6,533,030,292.52/37,059.40
6. Step 6: Final answer
   x = 176,285.38