Finding the Third Proportional to 30,588 and 64,850

Step by Step Solution

1. Step 1: Write the proportion equation
   30,588 : 64,850 = 64,850 : x
2. Step 2: Convert to fraction form
   30,588/64,850 = 64,850/x
3. Step 3: Cross multiply
   30,588x = 64,850 × 64,850
4. Step 4: Simplify right side
   30,588x = 4,205,522,500
5. Step 5: Solve for x
   x = 4,205,522,500/30,588
6. Step 6: Final answer
   x = 137,489.29