Finding the Third Proportional to 27,142.50 and 59,226

Step by Step Solution

1. Step 1: Write the proportion equation
   27,142.50 : 59,226 = 59,226 : x
2. Step 2: Convert to fraction form
   27,142.50/59,226 = 59,226/x
3. Step 3: Cross multiply
   27,142.50x = 59,226 × 59,226
4. Step 4: Simplify right side
   27,142.50x = 3,507,719,076
5. Step 5: Solve for x
   x = 3,507,719,076/27,142.50
6. Step 6: Final answer
   x = 129,233.46