Finding the Third Proportional to 34,142.50 and 51,693

Step by Step Solution

1. Step 1: Write the proportion equation
   34,142.50 : 51,693 = 51,693 : x
2. Step 2: Convert to fraction form
   34,142.50/51,693 = 51,693/x
3. Step 3: Cross multiply
   34,142.50x = 51,693 × 51,693
4. Step 4: Simplify right side
   34,142.50x = 2,672,166,249
5. Step 5: Solve for x
   x = 2,672,166,249/34,142.50
6. Step 6: Final answer
   x = 78,265.10