Finding the Third Proportional to 38,465 and 58,210

Step by Step Solution

1. Step 1: Write the proportion equation
   38,465 : 58,210 = 58,210 : x
2. Step 2: Convert to fraction form
   38,465/58,210 = 58,210/x
3. Step 3: Cross multiply
   38,465x = 58,210 × 58,210
4. Step 4: Simplify right side
   38,465x = 3,388,404,100
5. Step 5: Solve for x
   x = 3,388,404,100/38,465
6. Step 6: Final answer
   x = 88,090.58