Finding the Third Proportional to 35,521 and 55,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,521 : 55,189.50 = 55,189.50 : x
2. Step 2: Convert to fraction form
   35,521/55,189.50 = 55,189.50/x
3. Step 3: Cross multiply
   35,521x = 55,189.50 × 55,189.50
4. Step 4: Simplify right side
   35,521x = 3,045,880,910.25
5. Step 5: Solve for x
   x = 3,045,880,910.25/35,521
6. Step 6: Final answer
   x = 85,748.74