Finding the Third Proportional to 36,851.50 and 78,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,851.50 : 78,528.50 = 78,528.50 : x
2. Step 2: Convert to fraction form
   36,851.50/78,528.50 = 78,528.50/x
3. Step 3: Cross multiply
   36,851.50x = 78,528.50 × 78,528.50
4. Step 4: Simplify right side
   36,851.50x = 6,166,725,312.25
5. Step 5: Solve for x
   x = 6,166,725,312.25/36,851.50
6. Step 6: Final answer
   x = 167,339.87