Finding the Third Proportional to 23,506 and 34,377

Step by Step Solution

1. Step 1: Write the proportion equation
   23,506 : 34,377 = 34,377 : x
2. Step 2: Convert to fraction form
   23,506/34,377 = 34,377/x
3. Step 3: Cross multiply
   23,506x = 34,377 × 34,377
4. Step 4: Simplify right side
   23,506x = 1,181,778,129
5. Step 5: Solve for x
   x = 1,181,778,129/23,506
6. Step 6: Final answer
   x = 50,275.59