Finding the Third Proportional to 64,698.50 and 102,880

Step by Step Solution

1. Step 1: Write the proportion equation
   64,698.50 : 102,880 = 102,880 : x
2. Step 2: Convert to fraction form
   64,698.50/102,880 = 102,880/x
3. Step 3: Cross multiply
   64,698.50x = 102,880 × 102,880
4. Step 4: Simplify right side
   64,698.50x = 10,584,294,400
5. Step 5: Solve for x
   x = 10,584,294,400/64,698.50
6. Step 6: Final answer
   x = 163,594.12