Finding the Third Proportional to 19,548 and 27,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,548 : 27,463.50 = 27,463.50 : x
2. Step 2: Convert to fraction form
   19,548/27,463.50 = 27,463.50/x
3. Step 3: Cross multiply
   19,548x = 27,463.50 × 27,463.50
4. Step 4: Simplify right side
   19,548x = 754,243,832.25
5. Step 5: Solve for x
   x = 754,243,832.25/19,548
6. Step 6: Final answer
   x = 38,584.19