Finding the Third Proportional to 17,734.88 and 37,838.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,734.88 : 37,838.63 = 37,838.63 : x
2. Step 2: Convert to fraction form
   17,734.88/37,838.63 = 37,838.63/x
3. Step 3: Cross multiply
   17,734.88x = 37,838.63 × 37,838.63
4. Step 4: Simplify right side
   17,734.88x = 1,431,761,541.89
5. Step 5: Solve for x
   x = 1,431,761,541.89/17,734.88
6. Step 6: Final answer
   x = 80,731.41