Finding the Third Proportional to 35,561 and 51,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,561 : 51,877.50 = 51,877.50 : x
2. Step 2: Convert to fraction form
   35,561/51,877.50 = 51,877.50/x
3. Step 3: Cross multiply
   35,561x = 51,877.50 × 51,877.50
4. Step 4: Simplify right side
   35,561x = 2,691,275,006.25
5. Step 5: Solve for x
   x = 2,691,275,006.25/35,561
6. Step 6: Final answer
   x = 75,680.52