Finding the Third Proportional to 34,820 and 71,484

Step by Step Solution

1. Step 1: Write the proportion equation
   34,820 : 71,484 = 71,484 : x
2. Step 2: Convert to fraction form
   34,820/71,484 = 71,484/x
3. Step 3: Cross multiply
   34,820x = 71,484 × 71,484
4. Step 4: Simplify right side
   34,820x = 5,109,962,256
5. Step 5: Solve for x
   x = 5,109,962,256/34,820
6. Step 6: Final answer
   x = 146,753.65