Finding the Third Proportional to 38,072.50 and 83,549

Step by Step Solution

1. Step 1: Write the proportion equation
   38,072.50 : 83,549 = 83,549 : x
2. Step 2: Convert to fraction form
   38,072.50/83,549 = 83,549/x
3. Step 3: Cross multiply
   38,072.50x = 83,549 × 83,549
4. Step 4: Simplify right side
   38,072.50x = 6,980,435,401
5. Step 5: Solve for x
   x = 6,980,435,401/38,072.50
6. Step 6: Final answer
   x = 183,345.86