Finding the Third Proportional to 71,520 and 103,152

Step by Step Solution

1. Step 1: Write the proportion equation
   71,520 : 103,152 = 103,152 : x
2. Step 2: Convert to fraction form
   71,520/103,152 = 103,152/x
3. Step 3: Cross multiply
   71,520x = 103,152 × 103,152
4. Step 4: Simplify right side
   71,520x = 10,640,335,104
5. Step 5: Solve for x
   x = 10,640,335,104/71,520
6. Step 6: Final answer
   x = 148,774.26