Finding the Third Proportional to 9,116.25 and 19,655.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.25 : 19,655.25 = 19,655.25 : x
2. Step 2: Convert to fraction form
   9,116.25/19,655.25 = 19,655.25/x
3. Step 3: Cross multiply
   9,116.25x = 19,655.25 × 19,655.25
4. Step 4: Simplify right side
   9,116.25x = 386,328,852.56
5. Step 5: Solve for x
   x = 386,328,852.56/9,116.25
6. Step 6: Final answer
   x = 42,378.04