Finding the Third Proportional to 34,591 and 75,784

Step by Step Solution

1. Step 1: Write the proportion equation
   34,591 : 75,784 = 75,784 : x
2. Step 2: Convert to fraction form
   34,591/75,784 = 75,784/x
3. Step 3: Cross multiply
   34,591x = 75,784 × 75,784
4. Step 4: Simplify right side
   34,591x = 5,743,214,656
5. Step 5: Solve for x
   x = 5,743,214,656/34,591
6. Step 6: Final answer
   x = 166,032.05