Finding the Third Proportional to 33,526 and 69,832

Step by Step Solution

1. Step 1: Write the proportion equation
   33,526 : 69,832 = 69,832 : x
2. Step 2: Convert to fraction form
   33,526/69,832 = 69,832/x
3. Step 3: Cross multiply
   33,526x = 69,832 × 69,832
4. Step 4: Simplify right side
   33,526x = 4,876,508,224
5. Step 5: Solve for x
   x = 4,876,508,224/33,526
6. Step 6: Final answer
   x = 145,454.52