Finding the Third Proportional to 34,026.75 and 78,688.13

Step by Step Solution

1. Step 1: Write the proportion equation
   34,026.75 : 78,688.13 = 78,688.13 : x
2. Step 2: Convert to fraction form
   34,026.75/78,688.13 = 78,688.13/x
3. Step 3: Cross multiply
   34,026.75x = 78,688.13 × 78,688.13
4. Step 4: Simplify right side
   34,026.75x = 6,191,821,016.02
5. Step 5: Solve for x
   x = 6,191,821,016.02/34,026.75
6. Step 6: Final answer
   x = 181,969.22