Finding the Third Proportional to 42,465 and 57,468

Step by Step Solution

1. Step 1: Write the proportion equation
   42,465 : 57,468 = 57,468 : x
2. Step 2: Convert to fraction form
   42,465/57,468 = 57,468/x
3. Step 3: Cross multiply
   42,465x = 57,468 × 57,468
4. Step 4: Simplify right side
   42,465x = 3,302,571,024
5. Step 5: Solve for x
   x = 3,302,571,024/42,465
6. Step 6: Final answer
   x = 77,771.60