Finding the Third Proportional to 27,019 and 58,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,019 : 58,199.50 = 58,199.50 : x
2. Step 2: Convert to fraction form
   27,019/58,199.50 = 58,199.50/x
3. Step 3: Cross multiply
   27,019x = 58,199.50 × 58,199.50
4. Step 4: Simplify right side
   27,019x = 3,387,181,800.25
5. Step 5: Solve for x
   x = 3,387,181,800.25/27,019
6. Step 6: Final answer
   x = 125,362.96