Finding the Third Proportional to 42,064 and 89,743

Step by Step Solution

1. Step 1: Write the proportion equation
   42,064 : 89,743 = 89,743 : x
2. Step 2: Convert to fraction form
   42,064/89,743 = 89,743/x
3. Step 3: Cross multiply
   42,064x = 89,743 × 89,743
4. Step 4: Simplify right side
   42,064x = 8,053,806,049
5. Step 5: Solve for x
   x = 8,053,806,049/42,064
6. Step 6: Final answer
   x = 191,465.53