Finding the Third Proportional to 33,004.50 and 77,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,004.50 : 77,012.50 = 77,012.50 : x
2. Step 2: Convert to fraction form
   33,004.50/77,012.50 = 77,012.50/x
3. Step 3: Cross multiply
   33,004.50x = 77,012.50 × 77,012.50
4. Step 4: Simplify right side
   33,004.50x = 5,930,925,156.25
5. Step 5: Solve for x
   x = 5,930,925,156.25/33,004.50
6. Step 6: Final answer
   x = 179,700.50