Finding the Third Proportional to 33,723 and 51,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 51,088.50 = 51,088.50 : x
2. Step 2: Convert to fraction form
   33,723/51,088.50 = 51,088.50/x
3. Step 3: Cross multiply
   33,723x = 51,088.50 × 51,088.50
4. Step 4: Simplify right side
   33,723x = 2,610,034,832.25
5. Step 5: Solve for x
   x = 2,610,034,832.25/33,723
6. Step 6: Final answer
   x = 77,396.28