Finding the Third Proportional to 34,814 and 52,090

Step by Step Solution

1. Step 1: Write the proportion equation
   34,814 : 52,090 = 52,090 : x
2. Step 2: Convert to fraction form
   34,814/52,090 = 52,090/x
3. Step 3: Cross multiply
   34,814x = 52,090 × 52,090
4. Step 4: Simplify right side
   34,814x = 2,713,368,100
5. Step 5: Solve for x
   x = 2,713,368,100/34,814
6. Step 6: Final answer
   x = 77,938.99