Finding the Third Proportional to 37,991.25 and 78,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,991.25 : 78,412.50 = 78,412.50 : x
2. Step 2: Convert to fraction form
   37,991.25/78,412.50 = 78,412.50/x
3. Step 3: Cross multiply
   37,991.25x = 78,412.50 × 78,412.50
4. Step 4: Simplify right side
   37,991.25x = 6,148,520,156.25
5. Step 5: Solve for x
   x = 6,148,520,156.25/37,991.25
6. Step 6: Final answer
   x = 161,840.43