Finding the Third Proportional to 42,516 and 89,643

Step by Step Solution

1. Step 1: Write the proportion equation
   42,516 : 89,643 = 89,643 : x
2. Step 2: Convert to fraction form
   42,516/89,643 = 89,643/x
3. Step 3: Cross multiply
   42,516x = 89,643 × 89,643
4. Step 4: Simplify right side
   42,516x = 8,035,867,449
5. Step 5: Solve for x
   x = 8,035,867,449/42,516
6. Step 6: Final answer
   x = 189,008.08