Finding the Third Proportional to 35,583 and 51,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,583 : 51,538.50 = 51,538.50 : x
2. Step 2: Convert to fraction form
   35,583/51,538.50 = 51,538.50/x
3. Step 3: Cross multiply
   35,583x = 51,538.50 × 51,538.50
4. Step 4: Simplify right side
   35,583x = 2,656,216,982.25
5. Step 5: Solve for x
   x = 2,656,216,982.25/35,583
6. Step 6: Final answer
   x = 74,648.48