Finding the Third Proportional to 32,494 and 70,538

Step by Step Solution

1. Step 1: Write the proportion equation
   32,494 : 70,538 = 70,538 : x
2. Step 2: Convert to fraction form
   32,494/70,538 = 70,538/x
3. Step 3: Cross multiply
   32,494x = 70,538 × 70,538
4. Step 4: Simplify right side
   32,494x = 4,975,609,444
5. Step 5: Solve for x
   x = 4,975,609,444/32,494
6. Step 6: Final answer
   x = 153,123.94