Finding the Third Proportional to 33,007.50 and 77,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,007.50 : 77,842.50 = 77,842.50 : x
2. Step 2: Convert to fraction form
   33,007.50/77,842.50 = 77,842.50/x
3. Step 3: Cross multiply
   33,007.50x = 77,842.50 × 77,842.50
4. Step 4: Simplify right side
   33,007.50x = 6,059,454,806.25
5. Step 5: Solve for x
   x = 6,059,454,806.25/33,007.50
6. Step 6: Final answer
   x = 183,578.12