Finding the Third Proportional to 37,401.75 and 82,068.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,401.75 : 82,068.75 = 82,068.75 : x
2. Step 2: Convert to fraction form
   37,401.75/82,068.75 = 82,068.75/x
3. Step 3: Cross multiply
   37,401.75x = 82,068.75 × 82,068.75
4. Step 4: Simplify right side
   37,401.75x = 6,735,279,726.56
5. Step 5: Solve for x
   x = 6,735,279,726.56/37,401.75
6. Step 6: Final answer
   x = 180,079.27