Finding the Third Proportional to 53,127 and 58,635

Step by Step Solution

1. Step 1: Write the proportion equation
   53,127 : 58,635 = 58,635 : x
2. Step 2: Convert to fraction form
   53,127/58,635 = 58,635/x
3. Step 3: Cross multiply
   53,127x = 58,635 × 58,635
4. Step 4: Simplify right side
   53,127x = 3,438,063,225
5. Step 5: Solve for x
   x = 3,438,063,225/53,127
6. Step 6: Final answer
   x = 64,714.05