Finding the Third Proportional to 37,594 and 78,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594 : 78,287.50 = 78,287.50 : x
2. Step 2: Convert to fraction form
   37,594/78,287.50 = 78,287.50/x
3. Step 3: Cross multiply
   37,594x = 78,287.50 × 78,287.50
4. Step 4: Simplify right side
   37,594x = 6,128,932,656.25
5. Step 5: Solve for x
   x = 6,128,932,656.25/37,594
6. Step 6: Final answer
   x = 163,029.54