Finding the Third Proportional to 35,410.50 and 51,840

Step by Step Solution

1. Step 1: Write the proportion equation
   35,410.50 : 51,840 = 51,840 : x
2. Step 2: Convert to fraction form
   35,410.50/51,840 = 51,840/x
3. Step 3: Cross multiply
   35,410.50x = 51,840 × 51,840
4. Step 4: Simplify right side
   35,410.50x = 2,687,385,600
5. Step 5: Solve for x
   x = 2,687,385,600/35,410.50
6. Step 6: Final answer
   x = 75,892.34