Finding the Third Proportional to 34,776 and 52,461

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 52,461 = 52,461 : x
2. Step 2: Convert to fraction form
   34,776/52,461 = 52,461/x
3. Step 3: Cross multiply
   34,776x = 52,461 × 52,461
4. Step 4: Simplify right side
   34,776x = 2,752,156,521
5. Step 5: Solve for x
   x = 2,752,156,521/34,776
6. Step 6: Final answer
   x = 79,139.54