Finding the Third Proportional to 35,340 and 75,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,340 : 75,583.50 = 75,583.50 : x
2. Step 2: Convert to fraction form
   35,340/75,583.50 = 75,583.50/x
3. Step 3: Cross multiply
   35,340x = 75,583.50 × 75,583.50
4. Step 4: Simplify right side
   35,340x = 5,712,865,472.25
5. Step 5: Solve for x
   x = 5,712,865,472.25/35,340
6. Step 6: Final answer
   x = 161,654.37