Finding the Third Proportional to 42,621 and 89,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,621 : 89,734.50 = 89,734.50 : x
2. Step 2: Convert to fraction form
   42,621/89,734.50 = 89,734.50/x
3. Step 3: Cross multiply
   42,621x = 89,734.50 × 89,734.50
4. Step 4: Simplify right side
   42,621x = 8,052,280,490.25
5. Step 5: Solve for x
   x = 8,052,280,490.25/42,621
6. Step 6: Final answer
   x = 188,927.54