Finding the Third Proportional to 34,534.38 and 51,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,534.38 : 51,588.50 = 51,588.50 : x
2. Step 2: Convert to fraction form
   34,534.38/51,588.50 = 51,588.50/x
3. Step 3: Cross multiply
   34,534.38x = 51,588.50 × 51,588.50
4. Step 4: Simplify right side
   34,534.38x = 2,661,373,332.25
5. Step 5: Solve for x
   x = 2,661,373,332.25/34,534.38
6. Step 6: Final answer
   x = 77,064.47