Finding the Third Proportional to 27,830.25 and 42,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,830.25 : 42,664.50 = 42,664.50 : x
2. Step 2: Convert to fraction form
   27,830.25/42,664.50 = 42,664.50/x
3. Step 3: Cross multiply
   27,830.25x = 42,664.50 × 42,664.50
4. Step 4: Simplify right side
   27,830.25x = 1,820,259,560.25
5. Step 5: Solve for x
   x = 1,820,259,560.25/27,830.25
6. Step 6: Final answer
   x = 65,405.79