Finding the Third Proportional to 38,080.50 and 82,516

Step by Step Solution

1. Step 1: Write the proportion equation
   38,080.50 : 82,516 = 82,516 : x
2. Step 2: Convert to fraction form
   38,080.50/82,516 = 82,516/x
3. Step 3: Cross multiply
   38,080.50x = 82,516 × 82,516
4. Step 4: Simplify right side
   38,080.50x = 6,808,890,256
5. Step 5: Solve for x
   x = 6,808,890,256/38,080.50
6. Step 6: Final answer
   x = 178,802.54