Finding the Third Proportional to 53,376 and 83,730

Step by Step Solution

1. Step 1: Write the proportion equation
   53,376 : 83,730 = 83,730 : x
2. Step 2: Convert to fraction form
   53,376/83,730 = 83,730/x
3. Step 3: Cross multiply
   53,376x = 83,730 × 83,730
4. Step 4: Simplify right side
   53,376x = 7,010,712,900
5. Step 5: Solve for x
   x = 7,010,712,900/53,376
6. Step 6: Final answer
   x = 131,345.79