Finding the Third Proportional to 43,506 and 69,146

Step by Step Solution

1. Step 1: Write the proportion equation
   43,506 : 69,146 = 69,146 : x
2. Step 2: Convert to fraction form
   43,506/69,146 = 69,146/x
3. Step 3: Cross multiply
   43,506x = 69,146 × 69,146
4. Step 4: Simplify right side
   43,506x = 4,781,169,316
5. Step 5: Solve for x
   x = 4,781,169,316/43,506
6. Step 6: Final answer
   x = 109,896.78