Finding the Third Proportional to 40,102 and 56,507

Step by Step Solution

1. Step 1: Write the proportion equation
   40,102 : 56,507 = 56,507 : x
2. Step 2: Convert to fraction form
   40,102/56,507 = 56,507/x
3. Step 3: Cross multiply
   40,102x = 56,507 × 56,507
4. Step 4: Simplify right side
   40,102x = 3,193,041,049
5. Step 5: Solve for x
   x = 3,193,041,049/40,102
6. Step 6: Final answer
   x = 79,622.99