Finding the Third Proportional to 69,003 and 106,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,003 : 106,885.50 = 106,885.50 : x
2. Step 2: Convert to fraction form
   69,003/106,885.50 = 106,885.50/x
3. Step 3: Cross multiply
   69,003x = 106,885.50 × 106,885.50
4. Step 4: Simplify right side
   69,003x = 11,424,510,110.25
5. Step 5: Solve for x
   x = 11,424,510,110.25/69,003
6. Step 6: Final answer
   x = 165,565.41