Finding the Third Proportional to 9,098.63 and 19,633.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,098.63 : 19,633.88 = 19,633.88 : x
2. Step 2: Convert to fraction form
   9,098.63/19,633.88 = 19,633.88/x
3. Step 3: Cross multiply
   9,098.63x = 19,633.88 × 19,633.88
4. Step 4: Simplify right side
   9,098.63x = 385,489,047.52
5. Step 5: Solve for x
   x = 385,489,047.52/9,098.63
6. Step 6: Final answer
   x = 42,367.84