Finding the Third Proportional to 38,426.63 and 82,594.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38,426.63 : 82,594.31 = 82,594.31 : x
2. Step 2: Convert to fraction form
   38,426.63/82,594.31 = 82,594.31/x
3. Step 3: Cross multiply
   38,426.63x = 82,594.31 × 82,594.31
4. Step 4: Simplify right side
   38,426.63x = 6,821,820,457.35
5. Step 5: Solve for x
   x = 6,821,820,457.35/38,426.63
6. Step 6: Final answer
   x = 177,528.48