Finding the Third Proportional to 32,837.50 and 52,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,837.50 : 52,005.25 = 52,005.25 : x
2. Step 2: Convert to fraction form
   32,837.50/52,005.25 = 52,005.25/x
3. Step 3: Cross multiply
   32,837.50x = 52,005.25 × 52,005.25
4. Step 4: Simplify right side
   32,837.50x = 2,704,546,027.56
5. Step 5: Solve for x
   x = 2,704,546,027.56/32,837.50
6. Step 6: Final answer
   x = 82,361.51