Finding the Third Proportional to 19,410 and 27,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,410 : 27,469.50 = 27,469.50 : x
2. Step 2: Convert to fraction form
   19,410/27,469.50 = 27,469.50/x
3. Step 3: Cross multiply
   19,410x = 27,469.50 × 27,469.50
4. Step 4: Simplify right side
   19,410x = 754,573,430.25
5. Step 5: Solve for x
   x = 754,573,430.25/19,410
6. Step 6: Final answer
   x = 38,875.50