Finding the Third Proportional to 71,784 and 102,754

Step by Step Solution

1. Step 1: Write the proportion equation
   71,784 : 102,754 = 102,754 : x
2. Step 2: Convert to fraction form
   71,784/102,754 = 102,754/x
3. Step 3: Cross multiply
   71,784x = 102,754 × 102,754
4. Step 4: Simplify right side
   71,784x = 10,558,384,516
5. Step 5: Solve for x
   x = 10,558,384,516/71,784
6. Step 6: Final answer
   x = 147,085.49