Finding the Third Proportional to 35,751 and 53,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,751 : 53,557.50 = 53,557.50 : x
2. Step 2: Convert to fraction form
   35,751/53,557.50 = 53,557.50/x
3. Step 3: Cross multiply
   35,751x = 53,557.50 × 53,557.50
4. Step 4: Simplify right side
   35,751x = 2,868,405,806.25
5. Step 5: Solve for x
   x = 2,868,405,806.25/35,751
6. Step 6: Final answer
   x = 80,232.88