Finding the Third Proportional to 32,764 and 49,090

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764 : 49,090 = 49,090 : x
2. Step 2: Convert to fraction form
   32,764/49,090 = 49,090/x
3. Step 3: Cross multiply
   32,764x = 49,090 × 49,090
4. Step 4: Simplify right side
   32,764x = 2,409,828,100
5. Step 5: Solve for x
   x = 2,409,828,100/32,764
6. Step 6: Final answer
   x = 73,551.10