Finding the Third Proportional to 27,246 and 42,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,246 : 42,205.50 = 42,205.50 : x
2. Step 2: Convert to fraction form
   27,246/42,205.50 = 42,205.50/x
3. Step 3: Cross multiply
   27,246x = 42,205.50 × 42,205.50
4. Step 4: Simplify right side
   27,246x = 1,781,304,230.25
5. Step 5: Solve for x
   x = 1,781,304,230.25/27,246
6. Step 6: Final answer
   x = 65,378.56