Finding the Third Proportional to 33,238.50 and 72,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,238.50 : 72,307.50 = 72,307.50 : x
2. Step 2: Convert to fraction form
   33,238.50/72,307.50 = 72,307.50/x
3. Step 3: Cross multiply
   33,238.50x = 72,307.50 × 72,307.50
4. Step 4: Simplify right side
   33,238.50x = 5,228,374,556.25
5. Step 5: Solve for x
   x = 5,228,374,556.25/33,238.50
6. Step 6: Final answer
   x = 157,298.75