Finding the Third Proportional to 65,688 and 101,124

Step by Step Solution

1. Step 1: Write the proportion equation
   65,688 : 101,124 = 101,124 : x
2. Step 2: Convert to fraction form
   65,688/101,124 = 101,124/x
3. Step 3: Cross multiply
   65,688x = 101,124 × 101,124
4. Step 4: Simplify right side
   65,688x = 10,226,063,376
5. Step 5: Solve for x
   x = 10,226,063,376/65,688
6. Step 6: Final answer
   x = 155,676.28