Finding the Third Proportional to 50,776 and 74,429

Step by Step Solution

1. Step 1: Write the proportion equation
   50,776 : 74,429 = 74,429 : x
2. Step 2: Convert to fraction form
   50,776/74,429 = 74,429/x
3. Step 3: Cross multiply
   50,776x = 74,429 × 74,429
4. Step 4: Simplify right side
   50,776x = 5,539,676,041
5. Step 5: Solve for x
   x = 5,539,676,041/50,776
6. Step 6: Final answer
   x = 109,100.28