Finding the Third Proportional to 69,538.50 and 94,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,538.50 : 94,462.50 = 94,462.50 : x
2. Step 2: Convert to fraction form
   69,538.50/94,462.50 = 94,462.50/x
3. Step 3: Cross multiply
   69,538.50x = 94,462.50 × 94,462.50
4. Step 4: Simplify right side
   69,538.50x = 8,923,163,906.25
5. Step 5: Solve for x
   x = 8,923,163,906.25/69,538.50
6. Step 6: Final answer
   x = 128,319.76