Finding the Third Proportional to 69,435 and 103,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,435 : 103,697.50 = 103,697.50 : x
2. Step 2: Convert to fraction form
   69,435/103,697.50 = 103,697.50/x
3. Step 3: Cross multiply
   69,435x = 103,697.50 × 103,697.50
4. Step 4: Simplify right side
   69,435x = 10,753,171,506.25
5. Step 5: Solve for x
   x = 10,753,171,506.25/69,435
6. Step 6: Final answer
   x = 154,866.73