Finding the Third Proportional to 42,632.50 and 89,684

Step by Step Solution

1. Step 1: Write the proportion equation
   42,632.50 : 89,684 = 89,684 : x
2. Step 2: Convert to fraction form
   42,632.50/89,684 = 89,684/x
3. Step 3: Cross multiply
   42,632.50x = 89,684 × 89,684
4. Step 4: Simplify right side
   42,632.50x = 8,043,219,856
5. Step 5: Solve for x
   x = 8,043,219,856/42,632.50
6. Step 6: Final answer
   x = 188,664.04