Finding the Third Proportional to 33,490 and 69,158

Step by Step Solution

1. Step 1: Write the proportion equation
   33,490 : 69,158 = 69,158 : x
2. Step 2: Convert to fraction form
   33,490/69,158 = 69,158/x
3. Step 3: Cross multiply
   33,490x = 69,158 × 69,158
4. Step 4: Simplify right side
   33,490x = 4,782,828,964
5. Step 5: Solve for x
   x = 4,782,828,964/33,490
6. Step 6: Final answer
   x = 142,813.64