Finding the Third Proportional to 32,850 and 52,022.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,850 : 52,022.25 = 52,022.25 : x
2. Step 2: Convert to fraction form
   32,850/52,022.25 = 52,022.25/x
3. Step 3: Cross multiply
   32,850x = 52,022.25 × 52,022.25
4. Step 4: Simplify right side
   32,850x = 2,706,314,495.06
5. Step 5: Solve for x
   x = 2,706,314,495.06/32,850
6. Step 6: Final answer
   x = 82,384.00