Finding the Third Proportional to 33,701 and 51,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,701 : 51,015.50 = 51,015.50 : x
2. Step 2: Convert to fraction form
   33,701/51,015.50 = 51,015.50/x
3. Step 3: Cross multiply
   33,701x = 51,015.50 × 51,015.50
4. Step 4: Simplify right side
   33,701x = 2,602,581,240.25
5. Step 5: Solve for x
   x = 2,602,581,240.25/33,701
6. Step 6: Final answer
   x = 77,225.64