Finding the Third Proportional to 42,036 and 89,688

Step by Step Solution

1. Step 1: Write the proportion equation
   42,036 : 89,688 = 89,688 : x
2. Step 2: Convert to fraction form
   42,036/89,688 = 89,688/x
3. Step 3: Cross multiply
   42,036x = 89,688 × 89,688
4. Step 4: Simplify right side
   42,036x = 8,043,937,344
5. Step 5: Solve for x
   x = 8,043,937,344/42,036
6. Step 6: Final answer
   x = 191,358.30