Finding the Third Proportional to 27,154 and 42,046

Step by Step Solution

1. Step 1: Write the proportion equation
   27,154 : 42,046 = 42,046 : x
2. Step 2: Convert to fraction form
   27,154/42,046 = 42,046/x
3. Step 3: Cross multiply
   27,154x = 42,046 × 42,046
4. Step 4: Simplify right side
   27,154x = 1,767,866,116
5. Step 5: Solve for x
   x = 1,767,866,116/27,154
6. Step 6: Final answer
   x = 65,105.18