Finding the Third Proportional to 42,862.50 and 65,529

Step by Step Solution

1. Step 1: Write the proportion equation
   42,862.50 : 65,529 = 65,529 : x
2. Step 2: Convert to fraction form
   42,862.50/65,529 = 65,529/x
3. Step 3: Cross multiply
   42,862.50x = 65,529 × 65,529
4. Step 4: Simplify right side
   42,862.50x = 4,294,049,841
5. Step 5: Solve for x
   x = 4,294,049,841/42,862.50
6. Step 6: Final answer
   x = 100,181.97