Finding the Third Proportional to 23,820 and 32,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 32,692.50 = 32,692.50 : x
2. Step 2: Convert to fraction form
   23,820/32,692.50 = 32,692.50/x
3. Step 3: Cross multiply
   23,820x = 32,692.50 × 32,692.50
4. Step 4: Simplify right side
   23,820x = 1,068,799,556.25
5. Step 5: Solve for x
   x = 1,068,799,556.25/23,820
6. Step 6: Final answer
   x = 44,869.84