Finding the Third Proportional to 42,627 and 89,674

Step by Step Solution

1. Step 1: Write the proportion equation
   42,627 : 89,674 = 89,674 : x
2. Step 2: Convert to fraction form
   42,627/89,674 = 89,674/x
3. Step 3: Cross multiply
   42,627x = 89,674 × 89,674
4. Step 4: Simplify right side
   42,627x = 8,041,426,276
5. Step 5: Solve for x
   x = 8,041,426,276/42,627
6. Step 6: Final answer
   x = 188,646.31