Finding the Third Proportional to 17,678.25 and 37,725.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678.25 : 37,725.75 = 37,725.75 : x
2. Step 2: Convert to fraction form
   17,678.25/37,725.75 = 37,725.75/x
3. Step 3: Cross multiply
   17,678.25x = 37,725.75 × 37,725.75
4. Step 4: Simplify right side
   17,678.25x = 1,423,232,213.06
5. Step 5: Solve for x
   x = 1,423,232,213.06/17,678.25
6. Step 6: Final answer
   x = 80,507.53