Finding the Third Proportional to 7,948.88 and 17,264.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,948.88 : 17,264.63 = 17,264.63 : x
2. Step 2: Convert to fraction form
   7,948.88/17,264.63 = 17,264.63/x
3. Step 3: Cross multiply
   7,948.88x = 17,264.63 × 17,264.63
4. Step 4: Simplify right side
   7,948.88x = 298,067,276.39
5. Step 5: Solve for x
   x = 298,067,276.39/7,948.88
6. Step 6: Final answer
   x = 37,498.05