Finding the Third Proportional to 32,026.50 and 48,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,026.50 : 48,142.50 = 48,142.50 : x
2. Step 2: Convert to fraction form
   32,026.50/48,142.50 = 48,142.50/x
3. Step 3: Cross multiply
   32,026.50x = 48,142.50 × 48,142.50
4. Step 4: Simplify right side
   32,026.50x = 2,317,700,306.25
5. Step 5: Solve for x
   x = 2,317,700,306.25/32,026.50
6. Step 6: Final answer
   x = 72,368.20