Finding the Third Proportional to 34,140 and 51,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,140 : 51,307.50 = 51,307.50 : x
2. Step 2: Convert to fraction form
   34,140/51,307.50 = 51,307.50/x
3. Step 3: Cross multiply
   34,140x = 51,307.50 × 51,307.50
4. Step 4: Simplify right side
   34,140x = 2,632,459,556.25
5. Step 5: Solve for x
   x = 2,632,459,556.25/34,140
6. Step 6: Final answer
   x = 77,107.78