Finding the Third Proportional to 27,994 and 59,146

Step by Step Solution

1. Step 1: Write the proportion equation
   27,994 : 59,146 = 59,146 : x
2. Step 2: Convert to fraction form
   27,994/59,146 = 59,146/x
3. Step 3: Cross multiply
   27,994x = 59,146 × 59,146
4. Step 4: Simplify right side
   27,994x = 3,498,249,316
5. Step 5: Solve for x
   x = 3,498,249,316/27,994
6. Step 6: Final answer
   x = 124,964.25