Finding the Third Proportional to 46,499 and 59,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,499 : 59,704.50 = 59,704.50 : x
2. Step 2: Convert to fraction form
   46,499/59,704.50 = 59,704.50/x
3. Step 3: Cross multiply
   46,499x = 59,704.50 × 59,704.50
4. Step 4: Simplify right side
   46,499x = 3,564,627,320.25
5. Step 5: Solve for x
   x = 3,564,627,320.25/46,499
6. Step 6: Final answer
   x = 76,660.30