Finding the Third Proportional to 32,020 and 51,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,020 : 51,447.50 = 51,447.50 : x
2. Step 2: Convert to fraction form
   32,020/51,447.50 = 51,447.50/x
3. Step 3: Cross multiply
   32,020x = 51,447.50 × 51,447.50
4. Step 4: Simplify right side
   32,020x = 2,646,845,256.25
5. Step 5: Solve for x
   x = 2,646,845,256.25/32,020
6. Step 6: Final answer
   x = 82,662.25