Finding the Third Proportional to 14,974.88 and 35,609.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,974.88 : 35,609.63 = 35,609.63 : x
2. Step 2: Convert to fraction form
   14,974.88/35,609.63 = 35,609.63/x
3. Step 3: Cross multiply
   14,974.88x = 35,609.63 × 35,609.63
4. Step 4: Simplify right side
   14,974.88x = 1,268,045,392.64
5. Step 5: Solve for x
   x = 1,268,045,392.64/14,974.88
6. Step 6: Final answer
   x = 84,678.20