Finding the Third Proportional to 43,200 and 61,776

Step by Step Solution

1. Step 1: Write the proportion equation
   43,200 : 61,776 = 61,776 : x
2. Step 2: Convert to fraction form
   43,200/61,776 = 61,776/x
3. Step 3: Cross multiply
   43,200x = 61,776 × 61,776
4. Step 4: Simplify right side
   43,200x = 3,816,274,176
5. Step 5: Solve for x
   x = 3,816,274,176/43,200
6. Step 6: Final answer
   x = 88,339.68