Finding the Third Proportional to 9,137 and 19,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,137 : 19,659.50 = 19,659.50 : x
2. Step 2: Convert to fraction form
   9,137/19,659.50 = 19,659.50/x
3. Step 3: Cross multiply
   9,137x = 19,659.50 × 19,659.50
4. Step 4: Simplify right side
   9,137x = 386,495,940.25
5. Step 5: Solve for x
   x = 386,495,940.25/9,137
6. Step 6: Final answer
   x = 42,300.09