Finding the Third Proportional to 17,586 and 37,946.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586 : 37,946.25 = 37,946.25 : x
2. Step 2: Convert to fraction form
   17,586/37,946.25 = 37,946.25/x
3. Step 3: Cross multiply
   17,586x = 37,946.25 × 37,946.25
4. Step 4: Simplify right side
   17,586x = 1,439,917,889.06
5. Step 5: Solve for x
   x = 1,439,917,889.06/17,586
6. Step 6: Final answer
   x = 81,878.65