Finding the Third Proportional to 33,156 and 69,516

Step by Step Solution

1. Step 1: Write the proportion equation
   33,156 : 69,516 = 69,516 : x
2. Step 2: Convert to fraction form
   33,156/69,516 = 69,516/x
3. Step 3: Cross multiply
   33,156x = 69,516 × 69,516
4. Step 4: Simplify right side
   33,156x = 4,832,474,256
5. Step 5: Solve for x
   x = 4,832,474,256/33,156
6. Step 6: Final answer
   x = 145,749.62