Finding the Third Proportional to 27,826 and 61,870

Step by Step Solution

1. Step 1: Write the proportion equation
   27,826 : 61,870 = 61,870 : x
2. Step 2: Convert to fraction form
   27,826/61,870 = 61,870/x
3. Step 3: Cross multiply
   27,826x = 61,870 × 61,870
4. Step 4: Simplify right side
   27,826x = 3,827,896,900
5. Step 5: Solve for x
   x = 3,827,896,900/27,826
6. Step 6: Final answer
   x = 137,565.47