Finding the Third Proportional to 33,985.13 and 51,697.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,985.13 : 51,697.69 = 51,697.69 : x
2. Step 2: Convert to fraction form
   33,985.13/51,697.69 = 51,697.69/x
3. Step 3: Cross multiply
   33,985.13x = 51,697.69 × 51,697.69
4. Step 4: Simplify right side
   33,985.13x = 2,672,650,892.85
5. Step 5: Solve for x
   x = 2,672,650,892.85/33,985.13
6. Step 6: Final answer
   x = 78,641.78