Finding the Third Proportional to 34,597.13 and 78,139.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,597.13 : 78,139.69 = 78,139.69 : x
2. Step 2: Convert to fraction form
   34,597.13/78,139.69 = 78,139.69/x
3. Step 3: Cross multiply
   34,597.13x = 78,139.69 × 78,139.69
4. Step 4: Simplify right side
   34,597.13x = 6,105,810,762.60
5. Step 5: Solve for x
   x = 6,105,810,762.60/34,597.13
6. Step 6: Final answer
   x = 176,483.18