Finding the Third Proportional to 32,403 and 77,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,403 : 77,281.50 = 77,281.50 : x
2. Step 2: Convert to fraction form
   32,403/77,281.50 = 77,281.50/x
3. Step 3: Cross multiply
   32,403x = 77,281.50 × 77,281.50
4. Step 4: Simplify right side
   32,403x = 5,972,430,242.25
5. Step 5: Solve for x
   x = 5,972,430,242.25/32,403
6. Step 6: Final answer
   x = 184,317.20