Finding the Third Proportional to 36,875.25 and 78,109.31

Step by Step Solution

1. Step 1: Write the proportion equation
   36,875.25 : 78,109.31 = 78,109.31 : x
2. Step 2: Convert to fraction form
   36,875.25/78,109.31 = 78,109.31/x
3. Step 3: Cross multiply
   36,875.25x = 78,109.31 × 78,109.31
4. Step 4: Simplify right side
   36,875.25x = 6,101,064,699.22
5. Step 5: Solve for x
   x = 6,101,064,699.22/36,875.25
6. Step 6: Final answer
   x = 165,451.48