Finding the Third Proportional to 17,966 and 37,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,966 : 37,085.50 = 37,085.50 : x
2. Step 2: Convert to fraction form
   17,966/37,085.50 = 37,085.50/x
3. Step 3: Cross multiply
   17,966x = 37,085.50 × 37,085.50
4. Step 4: Simplify right side
   17,966x = 1,375,334,310.25
5. Step 5: Solve for x
   x = 1,375,334,310.25/17,966
6. Step 6: Final answer
   x = 76,552.06