Finding the Third Proportional to 51,088 and 77,124

Step by Step Solution

1. Step 1: Write the proportion equation
   51,088 : 77,124 = 77,124 : x
2. Step 2: Convert to fraction form
   51,088/77,124 = 77,124/x
3. Step 3: Cross multiply
   51,088x = 77,124 × 77,124
4. Step 4: Simplify right side
   51,088x = 5,948,111,376
5. Step 5: Solve for x
   x = 5,948,111,376/51,088
6. Step 6: Final answer
   x = 116,428.74