Finding the Third Proportional to 34,346 and 49,023

Step by Step Solution

1. Step 1: Write the proportion equation
   34,346 : 49,023 = 49,023 : x
2. Step 2: Convert to fraction form
   34,346/49,023 = 49,023/x
3. Step 3: Cross multiply
   34,346x = 49,023 × 49,023
4. Step 4: Simplify right side
   34,346x = 2,403,254,529
5. Step 5: Solve for x
   x = 2,403,254,529/34,346
6. Step 6: Final answer
   x = 69,971.89