Finding the Third Proportional to 34,538 and 71,532

Step by Step Solution

1. Step 1: Write the proportion equation
   34,538 : 71,532 = 71,532 : x
2. Step 2: Convert to fraction form
   34,538/71,532 = 71,532/x
3. Step 3: Cross multiply
   34,538x = 71,532 × 71,532
4. Step 4: Simplify right side
   34,538x = 5,116,827,024
5. Step 5: Solve for x
   x = 5,116,827,024/34,538
6. Step 6: Final answer
   x = 148,150.65