Finding the Third Proportional to 33,156 and 46,602

Step by Step Solution

1. Step 1: Write the proportion equation
   33,156 : 46,602 = 46,602 : x
2. Step 2: Convert to fraction form
   33,156/46,602 = 46,602/x
3. Step 3: Cross multiply
   33,156x = 46,602 × 46,602
4. Step 4: Simplify right side
   33,156x = 2,171,746,404
5. Step 5: Solve for x
   x = 2,171,746,404/33,156
6. Step 6: Final answer
   x = 65,500.86