Finding the Third Proportional to 34,352 and 72,458

Step by Step Solution

1. Step 1: Write the proportion equation
   34,352 : 72,458 = 72,458 : x
2. Step 2: Convert to fraction form
   34,352/72,458 = 72,458/x
3. Step 3: Cross multiply
   34,352x = 72,458 × 72,458
4. Step 4: Simplify right side
   34,352x = 5,250,161,764
5. Step 5: Solve for x
   x = 5,250,161,764/34,352
6. Step 6: Final answer
   x = 152,834.24