Finding the Third Proportional to 51,675.75 and 78,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,675.75 : 78,547.50 = 78,547.50 : x
2. Step 2: Convert to fraction form
   51,675.75/78,547.50 = 78,547.50/x
3. Step 3: Cross multiply
   51,675.75x = 78,547.50 × 78,547.50
4. Step 4: Simplify right side
   51,675.75x = 6,169,709,756.25
5. Step 5: Solve for x
   x = 6,169,709,756.25/51,675.75
6. Step 6: Final answer
   x = 119,392.75