Finding the Third Proportional to 33,185 and 70,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,185 : 70,256.50 = 70,256.50 : x
2. Step 2: Convert to fraction form
   33,185/70,256.50 = 70,256.50/x
3. Step 3: Cross multiply
   33,185x = 70,256.50 × 70,256.50
4. Step 4: Simplify right side
   33,185x = 4,935,975,792.25
5. Step 5: Solve for x
   x = 4,935,975,792.25/33,185
6. Step 6: Final answer
   x = 148,741.17