Finding the Third Proportional to 32,211 and 76,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,211 : 76,801.50 = 76,801.50 : x
2. Step 2: Convert to fraction form
   32,211/76,801.50 = 76,801.50/x
3. Step 3: Cross multiply
   32,211x = 76,801.50 × 76,801.50
4. Step 4: Simplify right side
   32,211x = 5,898,470,402.25
5. Step 5: Solve for x
   x = 5,898,470,402.25/32,211
6. Step 6: Final answer
   x = 183,119.75