Finding the Third Proportional to 52,275.38 and 83,075.63

Step by Step Solution

1. Step 1: Write the proportion equation
   52,275.38 : 83,075.63 = 83,075.63 : x
2. Step 2: Convert to fraction form
   52,275.38/83,075.63 = 83,075.63/x
3. Step 3: Cross multiply
   52,275.38x = 83,075.63 × 83,075.63
4. Step 4: Simplify right side
   52,275.38x = 6,901,559,469.14
5. Step 5: Solve for x
   x = 6,901,559,469.14/52,275.38
6. Step 6: Final answer
   x = 132,023.15