Finding the Third Proportional to 32,738 and 49,053

Step by Step Solution

1. Step 1: Write the proportion equation
   32,738 : 49,053 = 49,053 : x
2. Step 2: Convert to fraction form
   32,738/49,053 = 49,053/x
3. Step 3: Cross multiply
   32,738x = 49,053 × 49,053
4. Step 4: Simplify right side
   32,738x = 2,406,196,809
5. Step 5: Solve for x
   x = 2,406,196,809/32,738
6. Step 6: Final answer
   x = 73,498.59