Finding the Third Proportional to 9,106.88 and 18,547.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.88 : 18,547.88 = 18,547.88 : x
2. Step 2: Convert to fraction form
   9,106.88/18,547.88 = 18,547.88/x
3. Step 3: Cross multiply
   9,106.88x = 18,547.88 × 18,547.88
4. Step 4: Simplify right side
   9,106.88x = 344,023,667.02
5. Step 5: Solve for x
   x = 344,023,667.02/9,106.88
6. Step 6: Final answer
   x = 37,776.26