Finding the Third Proportional to 34,520 and 75,501

Step by Step Solution

1. Step 1: Write the proportion equation
   34,520 : 75,501 = 75,501 : x
2. Step 2: Convert to fraction form
   34,520/75,501 = 75,501/x
3. Step 3: Cross multiply
   34,520x = 75,501 × 75,501
4. Step 4: Simplify right side
   34,520x = 5,700,401,001
5. Step 5: Solve for x
   x = 5,700,401,001/34,520
6. Step 6: Final answer
   x = 165,133.29