Finding the Third Proportional to 33,547.50 and 47,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,547.50 : 47,020.50 = 47,020.50 : x
2. Step 2: Convert to fraction form
   33,547.50/47,020.50 = 47,020.50/x
3. Step 3: Cross multiply
   33,547.50x = 47,020.50 × 47,020.50
4. Step 4: Simplify right side
   33,547.50x = 2,210,927,420.25
5. Step 5: Solve for x
   x = 2,210,927,420.25/33,547.50
6. Step 6: Final answer
   x = 65,904.39