Finding the Third Proportional to 34,490 and 53,424

Step by Step Solution

1. Step 1: Write the proportion equation
   34,490 : 53,424 = 53,424 : x
2. Step 2: Convert to fraction form
   34,490/53,424 = 53,424/x
3. Step 3: Cross multiply
   34,490x = 53,424 × 53,424
4. Step 4: Simplify right side
   34,490x = 2,854,123,776
5. Step 5: Solve for x
   x = 2,854,123,776/34,490
6. Step 6: Final answer
   x = 82,752.21