Finding the Third Proportional to 69,002 and 102,774

Step by Step Solution

1. Step 1: Write the proportion equation
   69,002 : 102,774 = 102,774 : x
2. Step 2: Convert to fraction form
   69,002/102,774 = 102,774/x
3. Step 3: Cross multiply
   69,002x = 102,774 × 102,774
4. Step 4: Simplify right side
   69,002x = 10,562,495,076
5. Step 5: Solve for x
   x = 10,562,495,076/69,002
6. Step 6: Final answer
   x = 153,075.20