Finding the Third Proportional to 27,411 and 58,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,411 : 58,978.50 = 58,978.50 : x
2. Step 2: Convert to fraction form
   27,411/58,978.50 = 58,978.50/x
3. Step 3: Cross multiply
   27,411x = 58,978.50 × 58,978.50
4. Step 4: Simplify right side
   27,411x = 3,478,463,462.25
5. Step 5: Solve for x
   x = 3,478,463,462.25/27,411
6. Step 6: Final answer
   x = 126,900.28