Finding the Third Proportional to 71,761 and 112,002

Step by Step Solution

1. Step 1: Write the proportion equation
   71,761 : 112,002 = 112,002 : x
2. Step 2: Convert to fraction form
   71,761/112,002 = 112,002/x
3. Step 3: Cross multiply
   71,761x = 112,002 × 112,002
4. Step 4: Simplify right side
   71,761x = 12,544,448,004
5. Step 5: Solve for x
   x = 12,544,448,004/71,761
6. Step 6: Final answer
   x = 174,808.71