Finding the Third Proportional to 27,186 and 63,061

Step by Step Solution

1. Step 1: Write the proportion equation
   27,186 : 63,061 = 63,061 : x
2. Step 2: Convert to fraction form
   27,186/63,061 = 63,061/x
3. Step 3: Cross multiply
   27,186x = 63,061 × 63,061
4. Step 4: Simplify right side
   27,186x = 3,976,689,721
5. Step 5: Solve for x
   x = 3,976,689,721/27,186
6. Step 6: Final answer
   x = 146,277.12