Finding the Third Proportional to 30,501 and 46,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,501 : 46,075.50 = 46,075.50 : x
2. Step 2: Convert to fraction form
   30,501/46,075.50 = 46,075.50/x
3. Step 3: Cross multiply
   30,501x = 46,075.50 × 46,075.50
4. Step 4: Simplify right side
   30,501x = 2,122,951,700.25
5. Step 5: Solve for x
   x = 2,122,951,700.25/30,501
6. Step 6: Final answer
   x = 69,602.69