Finding the Third Proportional to 27,664 and 59,985

Step by Step Solution

1. Step 1: Write the proportion equation
   27,664 : 59,985 = 59,985 : x
2. Step 2: Convert to fraction form
   27,664/59,985 = 59,985/x
3. Step 3: Cross multiply
   27,664x = 59,985 × 59,985
4. Step 4: Simplify right side
   27,664x = 3,598,200,225
5. Step 5: Solve for x
   x = 3,598,200,225/27,664
6. Step 6: Final answer
   x = 130,067.97