Finding the Third Proportional to 37,984 and 58,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,984 : 58,967.50 = 58,967.50 : x
2. Step 2: Convert to fraction form
   37,984/58,967.50 = 58,967.50/x
3. Step 3: Cross multiply
   37,984x = 58,967.50 × 58,967.50
4. Step 4: Simplify right side
   37,984x = 3,477,166,056.25
5. Step 5: Solve for x
   x = 3,477,166,056.25/37,984
6. Step 6: Final answer
   x = 91,542.91