Finding the Third Proportional to 34,776 and 46,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 46,588.50 = 46,588.50 : x
2. Step 2: Convert to fraction form
   34,776/46,588.50 = 46,588.50/x
3. Step 3: Cross multiply
   34,776x = 46,588.50 × 46,588.50
4. Step 4: Simplify right side
   34,776x = 2,170,488,332.25
5. Step 5: Solve for x
   x = 2,170,488,332.25/34,776
6. Step 6: Final answer
   x = 62,413.40