Finding the Third Proportional to 27,850 and 42,658

Step by Step Solution

1. Step 1: Write the proportion equation
   27,850 : 42,658 = 42,658 : x
2. Step 2: Convert to fraction form
   27,850/42,658 = 42,658/x
3. Step 3: Cross multiply
   27,850x = 42,658 × 42,658
4. Step 4: Simplify right side
   27,850x = 1,819,704,964
5. Step 5: Solve for x
   x = 1,819,704,964/27,850
6. Step 6: Final answer
   x = 65,339.50