Finding the Third Proportional to 9,127 and 19,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,127 : 19,710.50 = 19,710.50 : x
2. Step 2: Convert to fraction form
   9,127/19,710.50 = 19,710.50/x
3. Step 3: Cross multiply
   9,127x = 19,710.50 × 19,710.50
4. Step 4: Simplify right side
   9,127x = 388,503,810.25
5. Step 5: Solve for x
   x = 388,503,810.25/9,127
6. Step 6: Final answer
   x = 42,566.43