Finding the Third Proportional to 31,664 and 42,627

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664 : 42,627 = 42,627 : x
2. Step 2: Convert to fraction form
   31,664/42,627 = 42,627/x
3. Step 3: Cross multiply
   31,664x = 42,627 × 42,627
4. Step 4: Simplify right side
   31,664x = 1,817,061,129
5. Step 5: Solve for x
   x = 1,817,061,129/31,664
6. Step 6: Final answer
   x = 57,385.71