Finding the Third Proportional to 27,980 and 42,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,980 : 42,239.50 = 42,239.50 : x
2. Step 2: Convert to fraction form
   27,980/42,239.50 = 42,239.50/x
3. Step 3: Cross multiply
   27,980x = 42,239.50 × 42,239.50
4. Step 4: Simplify right side
   27,980x = 1,784,175,360.25
5. Step 5: Solve for x
   x = 1,784,175,360.25/27,980
6. Step 6: Final answer
   x = 63,766.10