Finding the Third Proportional to 34,793 and 74,506

Step by Step Solution

1. Step 1: Write the proportion equation
   34,793 : 74,506 = 74,506 : x
2. Step 2: Convert to fraction form
   34,793/74,506 = 74,506/x
3. Step 3: Cross multiply
   34,793x = 74,506 × 74,506
4. Step 4: Simplify right side
   34,793x = 5,551,144,036
5. Step 5: Solve for x
   x = 5,551,144,036/34,793
6. Step 6: Final answer
   x = 159,547.73