Finding the Third Proportional to 35,101.50 and 76,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,101.50 : 76,156.50 = 76,156.50 : x
2. Step 2: Convert to fraction form
   35,101.50/76,156.50 = 76,156.50/x
3. Step 3: Cross multiply
   35,101.50x = 76,156.50 × 76,156.50
4. Step 4: Simplify right side
   35,101.50x = 5,799,812,492.25
5. Step 5: Solve for x
   x = 5,799,812,492.25/35,101.50
6. Step 6: Final answer
   x = 165,229.76