Finding the Third Proportional to 27,018 and 42,746.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,018 : 42,746.63 = 42,746.63 : x
2. Step 2: Convert to fraction form
   27,018/42,746.63 = 42,746.63/x
3. Step 3: Cross multiply
   27,018x = 42,746.63 × 42,746.63
4. Step 4: Simplify right side
   27,018x = 1,827,273,948.89
5. Step 5: Solve for x
   x = 1,827,273,948.89/27,018
6. Step 6: Final answer
   x = 67,631.73