Finding the Third Proportional to 32,464 and 49,047

Step by Step Solution

1. Step 1: Write the proportion equation
   32,464 : 49,047 = 49,047 : x
2. Step 2: Convert to fraction form
   32,464/49,047 = 49,047/x
3. Step 3: Cross multiply
   32,464x = 49,047 × 49,047
4. Step 4: Simplify right side
   32,464x = 2,405,608,209
5. Step 5: Solve for x
   x = 2,405,608,209/32,464
6. Step 6: Final answer
   x = 74,100.80